Properties

Label 43.2.e.b.11.1
Level $43$
Weight $2$
Character 43.11
Analytic conductor $0.343$
Analytic rank $0$
Dimension $6$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 43.e (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.343356728692\)
Analytic rank: \(0\)
Dimension: \(6\)
Coefficient field: \(\Q(\zeta_{14})\)
Defining polynomial: \(x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1\)
Coefficient ring: \(\Z[a_1, a_2]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 11.1
Root \(0.222521 + 0.974928i\) of defining polynomial
Character \(\chi\) \(=\) 43.11
Dual form 43.2.e.b.4.1

$q$-expansion

\(f(q)\) \(=\) \(q+(0.500000 + 0.626980i) q^{2} +(-2.02446 + 2.53859i) q^{3} +(0.301938 - 1.32288i) q^{4} +(1.80194 - 0.867767i) q^{5} -2.60388 q^{6} -1.19806 q^{7} +(2.42543 - 1.16802i) q^{8} +(-1.67845 - 7.35376i) q^{9} +O(q^{10})\) \(q+(0.500000 + 0.626980i) q^{2} +(-2.02446 + 2.53859i) q^{3} +(0.301938 - 1.32288i) q^{4} +(1.80194 - 0.867767i) q^{5} -2.60388 q^{6} -1.19806 q^{7} +(2.42543 - 1.16802i) q^{8} +(-1.67845 - 7.35376i) q^{9} +(1.44504 + 0.695895i) q^{10} +(0.0745725 + 0.326723i) q^{11} +(2.74698 + 3.44460i) q^{12} +(-4.54892 + 2.19064i) q^{13} +(-0.599031 - 0.751161i) q^{14} +(-1.44504 + 6.33114i) q^{15} +(-0.500000 - 0.240787i) q^{16} +(1.44504 + 0.695895i) q^{17} +(3.77144 - 4.72923i) q^{18} +(-0.211636 + 0.927237i) q^{19} +(-0.603875 - 2.64575i) q^{20} +(2.42543 - 3.04139i) q^{21} +(-0.167563 + 0.210117i) q^{22} +(-0.791053 - 3.46583i) q^{23} +(-1.94504 + 8.52179i) q^{24} +(-0.623490 + 0.781831i) q^{25} +(-3.64795 - 1.75676i) q^{26} +(13.2899 + 6.40006i) q^{27} +(-0.361740 + 1.58489i) q^{28} +(3.02446 + 3.79255i) q^{29} +(-4.69202 + 2.25956i) q^{30} +(-2.83244 - 3.55176i) q^{31} +(-1.29709 - 5.68294i) q^{32} +(-0.980386 - 0.472129i) q^{33} +(0.286208 + 1.25396i) q^{34} +(-2.15883 + 1.03964i) q^{35} -10.2349 q^{36} +4.52111 q^{37} +(-0.687177 + 0.330927i) q^{38} +(3.64795 - 15.9827i) q^{39} +(3.35690 - 4.20941i) q^{40} +(3.60992 + 4.52669i) q^{41} +3.11960 q^{42} +(-2.57457 + 6.03089i) q^{43} +0.454731 q^{44} +(-9.40581 - 11.7945i) q^{45} +(1.77748 - 2.22889i) q^{46} +(0.222521 - 0.974928i) q^{47} +(1.62349 - 0.781831i) q^{48} -5.56465 q^{49} -0.801938 q^{50} +(-4.69202 + 2.25956i) q^{51} +(1.52446 + 6.67909i) q^{52} +(-2.40097 - 1.15625i) q^{53} +(2.63222 + 11.5325i) q^{54} +(0.417895 + 0.524023i) q^{55} +(-2.90581 + 1.39937i) q^{56} +(-1.92543 - 2.41441i) q^{57} +(-0.865625 + 3.79255i) q^{58} +(11.1773 + 5.38268i) q^{59} +(7.93900 + 3.82322i) q^{60} +(2.88740 - 3.62068i) q^{61} +(0.810667 - 3.55176i) q^{62} +(2.01089 + 8.81026i) q^{63} +(2.22252 - 2.78695i) q^{64} +(-6.29590 + 7.89481i) q^{65} +(-0.194177 - 0.850747i) q^{66} +(1.48039 - 6.48599i) q^{67} +(1.35690 - 1.70149i) q^{68} +(10.3998 + 5.00827i) q^{69} +(-1.73125 - 0.833726i) q^{70} +(0.149145 - 0.653447i) q^{71} +(-12.6603 - 15.8755i) q^{72} +(5.02446 - 2.41965i) q^{73} +(2.26055 + 2.83464i) q^{74} +(-0.722521 - 3.16557i) q^{75} +(1.16272 + 0.559936i) q^{76} +(-0.0893425 - 0.391435i) q^{77} +(11.8448 - 5.70416i) q^{78} +4.38404 q^{79} -1.10992 q^{80} +(-22.7642 + 10.9627i) q^{81} +(-1.03319 + 4.52669i) q^{82} +(-3.79440 + 4.75803i) q^{83} +(-3.29105 - 4.12685i) q^{84} +3.20775 q^{85} +(-5.06853 + 1.40124i) q^{86} -15.7506 q^{87} +(0.562491 + 0.705341i) q^{88} +(-8.71797 + 10.9320i) q^{89} +(2.69202 - 11.7945i) q^{90} +(5.44989 - 2.62453i) q^{91} -4.82371 q^{92} +14.7506 q^{93} +(0.722521 - 0.347948i) q^{94} +(0.423272 + 1.85447i) q^{95} +(17.0526 + 8.21208i) q^{96} +(-3.38189 - 14.8170i) q^{97} +(-2.78232 - 3.48892i) q^{98} +(2.27748 - 1.09678i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6 q + 3 q^{2} - 3 q^{3} - 7 q^{4} + 2 q^{5} + 2 q^{6} - 16 q^{7} + q^{8} - 6 q^{9} + O(q^{10}) \) \( 6 q + 3 q^{2} - 3 q^{3} - 7 q^{4} + 2 q^{5} + 2 q^{6} - 16 q^{7} + q^{8} - 6 q^{9} + 8 q^{10} + 14 q^{11} + 7 q^{12} - 9 q^{13} - 8 q^{14} - 8 q^{15} - 3 q^{16} + 8 q^{17} + 4 q^{18} - 4 q^{19} + 14 q^{20} + q^{21} + q^{23} - 11 q^{24} + q^{25} - 8 q^{26} + 33 q^{27} + 28 q^{28} + 9 q^{29} - 18 q^{30} - 18 q^{31} - 21 q^{32} + 7 q^{33} + 18 q^{34} + 4 q^{35} - 14 q^{36} - 4 q^{37} - 16 q^{38} + 8 q^{39} + 12 q^{40} + 23 q^{41} - 24 q^{42} - 29 q^{43} - 42 q^{44} - 30 q^{45} + 11 q^{46} + q^{47} + 5 q^{48} + 10 q^{49} + 4 q^{50} - 18 q^{51} - 10 q^{53} + 27 q^{54} + 14 q^{55} + 9 q^{56} + 2 q^{57} - 13 q^{58} + 22 q^{59} + 28 q^{60} + 19 q^{61} + 12 q^{62} + 9 q^{63} + 13 q^{64} - 10 q^{65} + 28 q^{66} - 4 q^{67} + 17 q^{69} - 26 q^{70} + 28 q^{71} - 15 q^{72} + 21 q^{73} - 2 q^{74} - 4 q^{75} + 28 q^{76} - 49 q^{77} + 25 q^{78} + 6 q^{79} - 8 q^{80} - 58 q^{81} - 13 q^{82} - 39 q^{83} - 14 q^{84} - 16 q^{85} - 25 q^{86} - 22 q^{87} - 21 q^{88} + 11 q^{89} + 6 q^{90} + 10 q^{91} - 14 q^{92} + 16 q^{93} + 4 q^{94} + 8 q^{95} + 21 q^{96} - 19 q^{97} + 5 q^{98} + 14 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{5}{7}\right)\)

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 + 0.626980i 0.353553 + 0.443342i 0.926525 0.376233i \(-0.122781\pi\)
−0.572972 + 0.819575i \(0.694209\pi\)
\(3\) −2.02446 + 2.53859i −1.16882 + 1.46566i −0.311971 + 0.950092i \(0.600989\pi\)
−0.856851 + 0.515564i \(0.827582\pi\)
\(4\) 0.301938 1.32288i 0.150969 0.661438i
\(5\) 1.80194 0.867767i 0.805851 0.388077i 0.0148481 0.999890i \(-0.495274\pi\)
0.791003 + 0.611812i \(0.209559\pi\)
\(6\) −2.60388 −1.06303
\(7\) −1.19806 −0.452825 −0.226412 0.974032i \(-0.572700\pi\)
−0.226412 + 0.974032i \(0.572700\pi\)
\(8\) 2.42543 1.16802i 0.857518 0.412959i
\(9\) −1.67845 7.35376i −0.559483 2.45125i
\(10\) 1.44504 + 0.695895i 0.456962 + 0.220061i
\(11\) 0.0745725 + 0.326723i 0.0224844 + 0.0985108i 0.984925 0.172981i \(-0.0553400\pi\)
−0.962441 + 0.271492i \(0.912483\pi\)
\(12\) 2.74698 + 3.44460i 0.792985 + 0.994371i
\(13\) −4.54892 + 2.19064i −1.26164 + 0.607575i −0.940609 0.339493i \(-0.889745\pi\)
−0.321034 + 0.947068i \(0.604030\pi\)
\(14\) −0.599031 0.751161i −0.160098 0.200756i
\(15\) −1.44504 + 6.33114i −0.373108 + 1.63469i
\(16\) −0.500000 0.240787i −0.125000 0.0601968i
\(17\) 1.44504 + 0.695895i 0.350474 + 0.168779i 0.600835 0.799373i \(-0.294835\pi\)
−0.250361 + 0.968153i \(0.580549\pi\)
\(18\) 3.77144 4.72923i 0.888937 1.11469i
\(19\) −0.211636 + 0.927237i −0.0485526 + 0.212723i −0.993385 0.114831i \(-0.963367\pi\)
0.944832 + 0.327554i \(0.106224\pi\)
\(20\) −0.603875 2.64575i −0.135031 0.591608i
\(21\) 2.42543 3.04139i 0.529272 0.663686i
\(22\) −0.167563 + 0.210117i −0.0357245 + 0.0447971i
\(23\) −0.791053 3.46583i −0.164946 0.722675i −0.987967 0.154664i \(-0.950570\pi\)
0.823021 0.568011i \(-0.192287\pi\)
\(24\) −1.94504 + 8.52179i −0.397030 + 1.73950i
\(25\) −0.623490 + 0.781831i −0.124698 + 0.156366i
\(26\) −3.64795 1.75676i −0.715422 0.344529i
\(27\) 13.2899 + 6.40006i 2.55763 + 1.23169i
\(28\) −0.361740 + 1.58489i −0.0683625 + 0.299516i
\(29\) 3.02446 + 3.79255i 0.561628 + 0.704259i 0.978858 0.204542i \(-0.0655705\pi\)
−0.417230 + 0.908801i \(0.636999\pi\)
\(30\) −4.69202 + 2.25956i −0.856642 + 0.412537i
\(31\) −2.83244 3.55176i −0.508721 0.637916i 0.459451 0.888203i \(-0.348046\pi\)
−0.968172 + 0.250288i \(0.919475\pi\)
\(32\) −1.29709 5.68294i −0.229296 1.00461i
\(33\) −0.980386 0.472129i −0.170663 0.0821871i
\(34\) 0.286208 + 1.25396i 0.0490843 + 0.215052i
\(35\) −2.15883 + 1.03964i −0.364909 + 0.175731i
\(36\) −10.2349 −1.70582
\(37\) 4.52111 0.743265 0.371633 0.928380i \(-0.378798\pi\)
0.371633 + 0.928380i \(0.378798\pi\)
\(38\) −0.687177 + 0.330927i −0.111475 + 0.0536835i
\(39\) 3.64795 15.9827i 0.584139 2.55928i
\(40\) 3.35690 4.20941i 0.530772 0.665567i
\(41\) 3.60992 + 4.52669i 0.563774 + 0.706950i 0.979251 0.202654i \(-0.0649565\pi\)
−0.415476 + 0.909604i \(0.636385\pi\)
\(42\) 3.11960 0.481365
\(43\) −2.57457 + 6.03089i −0.392619 + 0.919701i
\(44\) 0.454731 0.0685532
\(45\) −9.40581 11.7945i −1.40214 1.75822i
\(46\) 1.77748 2.22889i 0.262075 0.328632i
\(47\) 0.222521 0.974928i 0.0324580 0.142208i −0.956103 0.293032i \(-0.905336\pi\)
0.988561 + 0.150824i \(0.0481928\pi\)
\(48\) 1.62349 0.781831i 0.234331 0.112848i
\(49\) −5.56465 −0.794950
\(50\) −0.801938 −0.113411
\(51\) −4.69202 + 2.25956i −0.657014 + 0.316401i
\(52\) 1.52446 + 6.67909i 0.211404 + 0.926223i
\(53\) −2.40097 1.15625i −0.329798 0.158823i 0.261656 0.965161i \(-0.415732\pi\)
−0.591454 + 0.806339i \(0.701446\pi\)
\(54\) 2.63222 + 11.5325i 0.358200 + 1.56938i
\(55\) 0.417895 + 0.524023i 0.0563489 + 0.0706593i
\(56\) −2.90581 + 1.39937i −0.388306 + 0.186998i
\(57\) −1.92543 2.41441i −0.255029 0.319796i
\(58\) −0.865625 + 3.79255i −0.113662 + 0.497986i
\(59\) 11.1773 + 5.38268i 1.45515 + 0.700765i 0.983482 0.181008i \(-0.0579361\pi\)
0.471673 + 0.881774i \(0.343650\pi\)
\(60\) 7.93900 + 3.82322i 1.02492 + 0.493576i
\(61\) 2.88740 3.62068i 0.369693 0.463580i −0.561835 0.827249i \(-0.689905\pi\)
0.931528 + 0.363669i \(0.118476\pi\)
\(62\) 0.810667 3.55176i 0.102955 0.451074i
\(63\) 2.01089 + 8.81026i 0.253348 + 1.10999i
\(64\) 2.22252 2.78695i 0.277815 0.348369i
\(65\) −6.29590 + 7.89481i −0.780910 + 0.979230i
\(66\) −0.194177 0.850747i −0.0239016 0.104720i
\(67\) 1.48039 6.48599i 0.180858 0.792390i −0.800365 0.599513i \(-0.795361\pi\)
0.981223 0.192877i \(-0.0617819\pi\)
\(68\) 1.35690 1.70149i 0.164548 0.206336i
\(69\) 10.3998 + 5.00827i 1.25199 + 0.602924i
\(70\) −1.73125 0.833726i −0.206924 0.0996493i
\(71\) 0.149145 0.653447i 0.0177002 0.0775498i −0.965306 0.261120i \(-0.915908\pi\)
0.983007 + 0.183570i \(0.0587654\pi\)
\(72\) −12.6603 15.8755i −1.49203 1.87095i
\(73\) 5.02446 2.41965i 0.588068 0.283199i −0.116093 0.993238i \(-0.537037\pi\)
0.704162 + 0.710039i \(0.251323\pi\)
\(74\) 2.26055 + 2.83464i 0.262784 + 0.329521i
\(75\) −0.722521 3.16557i −0.0834295 0.365529i
\(76\) 1.16272 + 0.559936i 0.133373 + 0.0642290i
\(77\) −0.0893425 0.391435i −0.0101815 0.0446081i
\(78\) 11.8448 5.70416i 1.34116 0.645869i
\(79\) 4.38404 0.493243 0.246622 0.969112i \(-0.420679\pi\)
0.246622 + 0.969112i \(0.420679\pi\)
\(80\) −1.10992 −0.124092
\(81\) −22.7642 + 10.9627i −2.52936 + 1.21807i
\(82\) −1.03319 + 4.52669i −0.114097 + 0.499889i
\(83\) −3.79440 + 4.75803i −0.416490 + 0.522262i −0.945179 0.326554i \(-0.894113\pi\)
0.528689 + 0.848816i \(0.322684\pi\)
\(84\) −3.29105 4.12685i −0.359083 0.450276i
\(85\) 3.20775 0.347929
\(86\) −5.06853 + 1.40124i −0.546554 + 0.151099i
\(87\) −15.7506 −1.68864
\(88\) 0.562491 + 0.705341i 0.0599617 + 0.0751896i
\(89\) −8.71797 + 10.9320i −0.924103 + 1.15879i 0.0628890 + 0.998021i \(0.479969\pi\)
−0.986992 + 0.160768i \(0.948603\pi\)
\(90\) 2.69202 11.7945i 0.283764 1.24325i
\(91\) 5.44989 2.62453i 0.571303 0.275125i
\(92\) −4.82371 −0.502906
\(93\) 14.7506 1.52957
\(94\) 0.722521 0.347948i 0.0745223 0.0358881i
\(95\) 0.423272 + 1.85447i 0.0434268 + 0.190265i
\(96\) 17.0526 + 8.21208i 1.74042 + 0.838142i
\(97\) −3.38189 14.8170i −0.343379 1.50444i −0.791891 0.610663i \(-0.790903\pi\)
0.448512 0.893777i \(-0.351954\pi\)
\(98\) −2.78232 3.48892i −0.281057 0.352434i
\(99\) 2.27748 1.09678i 0.228895 0.110230i
\(100\) 0.846011 + 1.06086i 0.0846011 + 0.106086i
\(101\) 3.55765 15.5871i 0.353999 1.55097i −0.413853 0.910344i \(-0.635817\pi\)
0.767852 0.640627i \(-0.221326\pi\)
\(102\) −3.76271 1.81203i −0.372564 0.179417i
\(103\) −13.5918 6.54546i −1.33924 0.644944i −0.379332 0.925261i \(-0.623846\pi\)
−0.959907 + 0.280317i \(0.909560\pi\)
\(104\) −8.47434 + 10.6265i −0.830978 + 1.04201i
\(105\) 1.73125 7.58510i 0.168953 0.740230i
\(106\) −0.475541 2.08348i −0.0461887 0.202366i
\(107\) 2.29105 2.87289i 0.221484 0.277733i −0.658658 0.752442i \(-0.728876\pi\)
0.880142 + 0.474710i \(0.157447\pi\)
\(108\) 12.4792 15.6484i 1.20081 1.50577i
\(109\) 1.25182 + 5.48460i 0.119903 + 0.525329i 0.998829 + 0.0483719i \(0.0154033\pi\)
−0.878926 + 0.476957i \(0.841740\pi\)
\(110\) −0.119605 + 0.524023i −0.0114039 + 0.0499637i
\(111\) −9.15279 + 11.4772i −0.868745 + 1.08937i
\(112\) 0.599031 + 0.288478i 0.0566031 + 0.0272586i
\(113\) 2.26659 + 1.09153i 0.213223 + 0.102683i 0.537447 0.843298i \(-0.319389\pi\)
−0.324224 + 0.945980i \(0.605103\pi\)
\(114\) 0.551073 2.41441i 0.0516127 0.226130i
\(115\) −4.43296 5.55876i −0.413376 0.518357i
\(116\) 5.93027 2.85587i 0.550612 0.265161i
\(117\) 23.7446 + 29.7748i 2.19519 + 2.75268i
\(118\) 2.21379 + 9.69926i 0.203796 + 0.892889i
\(119\) −1.73125 0.833726i −0.158703 0.0764275i
\(120\) 3.89008 + 17.0436i 0.355114 + 1.55586i
\(121\) 9.80947 4.72399i 0.891770 0.429454i
\(122\) 3.71379 0.336231
\(123\) −18.7995 −1.69510
\(124\) −5.55376 + 2.67455i −0.498743 + 0.240182i
\(125\) −2.67025 + 11.6991i −0.238835 + 1.04640i
\(126\) −4.51842 + 5.66592i −0.402533 + 0.504760i
\(127\) 2.91454 + 3.65472i 0.258624 + 0.324304i 0.894143 0.447781i \(-0.147785\pi\)
−0.635520 + 0.772085i \(0.719214\pi\)
\(128\) −8.79954 −0.777777
\(129\) −10.0978 18.7451i −0.889065 1.65041i
\(130\) −8.09783 −0.710227
\(131\) −2.74094 3.43703i −0.239477 0.300295i 0.647540 0.762031i \(-0.275798\pi\)
−0.887017 + 0.461737i \(0.847226\pi\)
\(132\) −0.920583 + 1.15437i −0.0801265 + 0.100475i
\(133\) 0.253553 1.11089i 0.0219858 0.0963262i
\(134\) 4.80678 2.31482i 0.415243 0.199970i
\(135\) 29.5013 2.53906
\(136\) 4.31767 0.370237
\(137\) −5.06853 + 2.44088i −0.433034 + 0.208538i −0.637686 0.770297i \(-0.720108\pi\)
0.204652 + 0.978835i \(0.434394\pi\)
\(138\) 2.05980 + 9.02458i 0.175342 + 0.768224i
\(139\) −14.9046 7.17769i −1.26419 0.608803i −0.322913 0.946429i \(-0.604662\pi\)
−0.941281 + 0.337625i \(0.890376\pi\)
\(140\) 0.723480 + 3.16977i 0.0611453 + 0.267895i
\(141\) 2.02446 + 2.53859i 0.170490 + 0.213788i
\(142\) 0.484271 0.233212i 0.0406391 0.0195707i
\(143\) −1.05496 1.32288i −0.0882200 0.110624i
\(144\) −0.931468 + 4.08103i −0.0776224 + 0.340086i
\(145\) 8.74094 + 4.20941i 0.725895 + 0.349573i
\(146\) 4.02930 + 1.94041i 0.333467 + 0.160589i
\(147\) 11.2654 14.1264i 0.929154 1.16512i
\(148\) 1.36509 5.98086i 0.112210 0.491624i
\(149\) −2.00484 8.78380i −0.164243 0.719597i −0.988228 0.152985i \(-0.951111\pi\)
0.823985 0.566611i \(-0.191746\pi\)
\(150\) 1.62349 2.03579i 0.132557 0.166222i
\(151\) −1.80194 + 2.25956i −0.146640 + 0.183880i −0.849727 0.527224i \(-0.823233\pi\)
0.703087 + 0.711104i \(0.251804\pi\)
\(152\) 0.569728 + 2.49614i 0.0462111 + 0.202464i
\(153\) 2.69202 11.7945i 0.217637 0.953530i
\(154\) 0.200751 0.251733i 0.0161769 0.0202853i
\(155\) −8.18598 3.94216i −0.657514 0.316642i
\(156\) −20.0417 9.65156i −1.60462 0.772744i
\(157\) −5.14310 + 22.5334i −0.410464 + 1.79836i 0.171541 + 0.985177i \(0.445125\pi\)
−0.582005 + 0.813185i \(0.697732\pi\)
\(158\) 2.19202 + 2.74871i 0.174388 + 0.218675i
\(159\) 7.79590 3.75431i 0.618255 0.297736i
\(160\) −7.26875 9.11472i −0.574645 0.720582i
\(161\) 0.947730 + 4.15228i 0.0746916 + 0.327245i
\(162\) −18.2555 8.79137i −1.43429 0.690715i
\(163\) 2.79494 + 12.2454i 0.218916 + 0.959135i 0.958280 + 0.285830i \(0.0922691\pi\)
−0.739364 + 0.673306i \(0.764874\pi\)
\(164\) 7.07822 3.40869i 0.552716 0.266174i
\(165\) −2.17629 −0.169424
\(166\) −4.88040 −0.378792
\(167\) 20.0613 9.66101i 1.55239 0.747591i 0.555895 0.831252i \(-0.312376\pi\)
0.996494 + 0.0836609i \(0.0266613\pi\)
\(168\) 2.33028 10.2096i 0.179785 0.787690i
\(169\) 7.78836 9.76630i 0.599105 0.751254i
\(170\) 1.60388 + 2.01120i 0.123012 + 0.154252i
\(171\) 7.17390 0.548602
\(172\) 7.20075 + 5.22679i 0.549052 + 0.398539i
\(173\) 2.18598 0.166197 0.0830985 0.996541i \(-0.473518\pi\)
0.0830985 + 0.996541i \(0.473518\pi\)
\(174\) −7.87531 9.87533i −0.597026 0.748647i
\(175\) 0.746980 0.936683i 0.0564664 0.0708066i
\(176\) 0.0413846 0.181318i 0.00311948 0.0136673i
\(177\) −36.2923 + 17.4775i −2.72790 + 1.31369i
\(178\) −11.2131 −0.840459
\(179\) 10.2174 0.763687 0.381844 0.924227i \(-0.375289\pi\)
0.381844 + 0.924227i \(0.375289\pi\)
\(180\) −18.4426 + 8.88151i −1.37463 + 0.661989i
\(181\) 2.95473 + 12.9455i 0.219623 + 0.962233i 0.957757 + 0.287578i \(0.0928502\pi\)
−0.738134 + 0.674654i \(0.764293\pi\)
\(182\) 4.37047 + 2.10471i 0.323961 + 0.156011i
\(183\) 3.34601 + 14.6598i 0.247344 + 1.08369i
\(184\) −5.96681 7.48215i −0.439879 0.551591i
\(185\) 8.14675 3.92327i 0.598961 0.288444i
\(186\) 7.37531 + 9.24835i 0.540784 + 0.678122i
\(187\) −0.119605 + 0.524023i −0.00874638 + 0.0383204i
\(188\) −1.22252 0.588735i −0.0891615 0.0429379i
\(189\) −15.9221 7.66767i −1.15816 0.557741i
\(190\) −0.951083 + 1.19262i −0.0689988 + 0.0865217i
\(191\) 4.76928 20.8956i 0.345093 1.51195i −0.443071 0.896487i \(-0.646111\pi\)
0.788164 0.615465i \(-0.211032\pi\)
\(192\) 2.57553 + 11.2841i 0.185873 + 0.814363i
\(193\) −5.45257 + 6.83731i −0.392485 + 0.492161i −0.938337 0.345721i \(-0.887634\pi\)
0.545853 + 0.837881i \(0.316206\pi\)
\(194\) 7.59903 9.52888i 0.545579 0.684134i
\(195\) −7.29590 31.9654i −0.522470 2.28909i
\(196\) −1.68018 + 7.36134i −0.120013 + 0.525810i
\(197\) 11.5571 14.4922i 0.823410 1.03252i −0.175435 0.984491i \(-0.556133\pi\)
0.998846 0.0480329i \(-0.0152952\pi\)
\(198\) 1.82640 + 0.879546i 0.129796 + 0.0625066i
\(199\) 3.08211 + 1.48426i 0.218485 + 0.105217i 0.539925 0.841713i \(-0.318453\pi\)
−0.321440 + 0.946930i \(0.604167\pi\)
\(200\) −0.599031 + 2.62453i −0.0423579 + 0.185582i
\(201\) 13.4683 + 16.8887i 0.949981 + 1.19124i
\(202\) 11.5516 5.56296i 0.812768 0.391409i
\(203\) −3.62349 4.54371i −0.254319 0.318906i
\(204\) 1.57242 + 6.88921i 0.110091 + 0.482341i
\(205\) 10.4330 + 5.02425i 0.728670 + 0.350909i
\(206\) −2.69202 11.7945i −0.187562 0.821763i
\(207\) −24.1591 + 11.6344i −1.67918 + 0.808648i
\(208\) 2.80194 0.194279
\(209\) −0.318732 −0.0220472
\(210\) 5.62133 2.70709i 0.387909 0.186807i
\(211\) −1.98158 + 8.68188i −0.136418 + 0.597685i 0.859788 + 0.510652i \(0.170596\pi\)
−0.996205 + 0.0870334i \(0.972261\pi\)
\(212\) −2.25451 + 2.82707i −0.154841 + 0.194164i
\(213\) 1.35690 + 1.70149i 0.0929730 + 0.116584i
\(214\) 2.94677 0.201437
\(215\) 0.594187 + 13.1014i 0.0405232 + 0.893509i
\(216\) 39.7090 2.70186
\(217\) 3.39344 + 4.25523i 0.230361 + 0.288864i
\(218\) −2.81282 + 3.52717i −0.190508 + 0.238890i
\(219\) −4.02930 + 17.6535i −0.272275 + 1.19292i
\(220\) 0.819396 0.394600i 0.0552437 0.0266040i
\(221\) −8.09783 −0.544719
\(222\) −11.7724 −0.790112
\(223\) 4.40581 2.12173i 0.295035 0.142081i −0.280511 0.959851i \(-0.590504\pi\)
0.575546 + 0.817769i \(0.304790\pi\)
\(224\) 1.55400 + 6.80851i 0.103831 + 0.454913i
\(225\) 6.79590 + 3.27273i 0.453060 + 0.218182i
\(226\) 0.448927 + 1.96688i 0.0298622 + 0.130835i
\(227\) −2.58964 3.24730i −0.171880 0.215531i 0.688429 0.725304i \(-0.258301\pi\)
−0.860309 + 0.509773i \(0.829729\pi\)
\(228\) −3.77532 + 1.81810i −0.250027 + 0.120407i
\(229\) −12.1881 15.2834i −0.805415 1.00996i −0.999580 0.0289892i \(-0.990771\pi\)
0.194165 0.980969i \(-0.437800\pi\)
\(230\) 1.26875 5.55876i 0.0836589 0.366534i
\(231\) 1.17456 + 0.565640i 0.0772806 + 0.0372164i
\(232\) 11.7654 + 5.66592i 0.772436 + 0.371986i
\(233\) −4.83728 + 6.06576i −0.316901 + 0.397381i −0.914613 0.404329i \(-0.867505\pi\)
0.597713 + 0.801710i \(0.296076\pi\)
\(234\) −6.79590 + 29.7748i −0.444262 + 1.94644i
\(235\) −0.445042 1.94986i −0.0290313 0.127195i
\(236\) 10.4955 13.1609i 0.683196 0.856700i
\(237\) −8.87531 + 11.1293i −0.576514 + 0.722925i
\(238\) −0.342895 1.50232i −0.0222266 0.0973811i
\(239\) −3.48254 + 15.2580i −0.225267 + 0.986959i 0.728177 + 0.685389i \(0.240368\pi\)
−0.953444 + 0.301570i \(0.902489\pi\)
\(240\) 2.24698 2.81762i 0.145042 0.181877i
\(241\) 8.63975 + 4.16069i 0.556535 + 0.268013i 0.690939 0.722913i \(-0.257197\pi\)
−0.134403 + 0.990927i \(0.542912\pi\)
\(242\) 7.86658 + 3.78835i 0.505683 + 0.243524i
\(243\) 8.40850 36.8401i 0.539406 2.36329i
\(244\) −3.91789 4.91288i −0.250818 0.314515i
\(245\) −10.0271 + 4.82882i −0.640611 + 0.308502i
\(246\) −9.39977 11.7869i −0.599308 0.751508i
\(247\) −1.06853 4.68154i −0.0679890 0.297879i
\(248\) −11.0184 5.30619i −0.699670 0.336943i
\(249\) −4.39708 19.2649i −0.278654 1.22086i
\(250\) −8.67025 + 4.17537i −0.548355 + 0.264074i
\(251\) −13.1317 −0.828865 −0.414432 0.910080i \(-0.636020\pi\)
−0.414432 + 0.910080i \(0.636020\pi\)
\(252\) 12.2620 0.772436
\(253\) 1.07338 0.516911i 0.0674826 0.0324979i
\(254\) −0.834166 + 3.65472i −0.0523402 + 0.229318i
\(255\) −6.49396 + 8.14317i −0.406668 + 0.509945i
\(256\) −8.84481 11.0910i −0.552801 0.693190i
\(257\) −17.8213 −1.11166 −0.555832 0.831295i \(-0.687600\pi\)
−0.555832 + 0.831295i \(0.687600\pi\)
\(258\) 6.70387 15.7037i 0.417364 0.977668i
\(259\) −5.41657 −0.336569
\(260\) 8.54288 + 10.7124i 0.529807 + 0.664357i
\(261\) 22.8131 28.6067i 1.41210 1.77071i
\(262\) 0.784479 3.43703i 0.0484653 0.212340i
\(263\) 28.7848 13.8620i 1.77495 0.854769i 0.812654 0.582746i \(-0.198022\pi\)
0.962291 0.272023i \(-0.0876926\pi\)
\(264\) −2.92931 −0.180287
\(265\) −5.32975 −0.327404
\(266\) 0.823281 0.396471i 0.0504786 0.0243092i
\(267\) −10.1027 44.2627i −0.618274 2.70884i
\(268\) −8.13318 3.91673i −0.496813 0.239253i
\(269\) 0.189866 + 0.831855i 0.0115763 + 0.0507191i 0.980386 0.197086i \(-0.0631478\pi\)
−0.968810 + 0.247805i \(0.920291\pi\)
\(270\) 14.7506 + 18.4967i 0.897695 + 1.12567i
\(271\) −2.05280 + 0.988577i −0.124699 + 0.0600518i −0.495193 0.868783i \(-0.664903\pi\)
0.370494 + 0.928835i \(0.379188\pi\)
\(272\) −0.554958 0.695895i −0.0336493 0.0421949i
\(273\) −4.37047 + 19.1483i −0.264513 + 1.15891i
\(274\) −4.06465 1.95743i −0.245554 0.118253i
\(275\) −0.301938 0.145406i −0.0182075 0.00876828i
\(276\) 9.76540 12.2454i 0.587808 0.737088i
\(277\) −0.773831 + 3.39038i −0.0464950 + 0.203708i −0.992840 0.119449i \(-0.961887\pi\)
0.946345 + 0.323157i \(0.104744\pi\)
\(278\) −2.95204 12.9337i −0.177052 0.775714i
\(279\) −21.3647 + 26.7905i −1.27907 + 1.60391i
\(280\) −4.02177 + 5.04314i −0.240347 + 0.301385i
\(281\) 4.02811 + 17.6483i 0.240297 + 1.05281i 0.940747 + 0.339108i \(0.110125\pi\)
−0.700451 + 0.713701i \(0.747018\pi\)
\(282\) −0.579417 + 2.53859i −0.0345038 + 0.151171i
\(283\) −14.8802 + 18.6591i −0.884534 + 1.10917i 0.108819 + 0.994062i \(0.465293\pi\)
−0.993353 + 0.115108i \(0.963278\pi\)
\(284\) −0.819396 0.394600i −0.0486222 0.0234152i
\(285\) −5.56465 2.67979i −0.329621 0.158737i
\(286\) 0.301938 1.32288i 0.0178540 0.0782233i
\(287\) −4.32490 5.42326i −0.255291 0.320125i
\(288\) −39.6139 + 19.0770i −2.33427 + 1.12412i
\(289\) −8.99545 11.2799i −0.529144 0.663526i
\(290\) 1.73125 + 7.58510i 0.101663 + 0.445413i
\(291\) 44.4608 + 21.4112i 2.60634 + 1.25515i
\(292\) −1.68382 7.37732i −0.0985384 0.431725i
\(293\) −24.7787 + 11.9328i −1.44759 + 0.697122i −0.982175 0.187971i \(-0.939809\pi\)
−0.465414 + 0.885093i \(0.654095\pi\)
\(294\) 14.4896 0.845053
\(295\) 24.8116 1.44459
\(296\) 10.9656 5.28076i 0.637363 0.306938i
\(297\) −1.09999 + 4.81937i −0.0638279 + 0.279648i
\(298\) 4.50484 5.64890i 0.260959 0.327232i
\(299\) 11.1908 + 14.0329i 0.647182 + 0.811541i
\(300\) −4.40581 −0.254370
\(301\) 3.08450 7.22538i 0.177788 0.416464i
\(302\) −2.31767 −0.133367
\(303\) 32.3669 + 40.5868i 1.85943 + 2.33165i
\(304\) 0.329085 0.412659i 0.0188743 0.0236676i
\(305\) 2.06100 9.02983i 0.118012 0.517046i
\(306\) 8.74094 4.20941i 0.499686 0.240636i
\(307\) −20.2838 −1.15766 −0.578829 0.815449i \(-0.696490\pi\)
−0.578829 + 0.815449i \(0.696490\pi\)
\(308\) −0.544796 −0.0310426
\(309\) 44.1323 21.2530i 2.51060 1.20904i
\(310\) −1.62133 7.10353i −0.0920856 0.403453i
\(311\) 5.15010 + 2.48016i 0.292036 + 0.140637i 0.574165 0.818739i \(-0.305327\pi\)
−0.282130 + 0.959376i \(0.591041\pi\)
\(312\) −9.82036 43.0258i −0.555968 2.43586i
\(313\) −15.1746 19.0283i −0.857717 1.07554i −0.996364 0.0852012i \(-0.972847\pi\)
0.138647 0.990342i \(-0.455725\pi\)
\(314\) −16.6996 + 8.04208i −0.942410 + 0.453841i
\(315\) 11.2687 + 14.1306i 0.634922 + 0.796167i
\(316\) 1.32371 5.79954i 0.0744644 0.326250i
\(317\) −13.6555 6.57613i −0.766968 0.369352i 0.00913503 0.999958i \(-0.497092\pi\)
−0.776103 + 0.630606i \(0.782806\pi\)
\(318\) 6.25182 + 3.01072i 0.350585 + 0.168833i
\(319\) −1.01357 + 1.27098i −0.0567492 + 0.0711613i
\(320\) 1.58642 6.95055i 0.0886834 0.388547i
\(321\) 2.65495 + 11.6321i 0.148185 + 0.649240i
\(322\) −2.12953 + 2.67035i −0.118674 + 0.148813i
\(323\) −0.951083 + 1.19262i −0.0529197 + 0.0663591i
\(324\) 7.62887 + 33.4242i 0.423826 + 1.85690i
\(325\) 1.12349 4.92233i 0.0623200 0.273042i
\(326\) −6.28017 + 7.87508i −0.347826 + 0.436160i
\(327\) −16.4574 7.92548i −0.910097 0.438280i
\(328\) 14.0429 + 6.76269i 0.775388 + 0.373407i
\(329\) −0.266594 + 1.16802i −0.0146978 + 0.0643953i
\(330\) −1.08815 1.36449i −0.0599005 0.0751128i
\(331\) −20.8898 + 10.0600i −1.14821 + 0.552949i −0.908495 0.417895i \(-0.862768\pi\)
−0.239714 + 0.970843i \(0.577054\pi\)
\(332\) 5.14861 + 6.45616i 0.282567 + 0.354328i
\(333\) −7.58844 33.2471i −0.415844 1.82193i
\(334\) 16.0879 + 7.74753i 0.880291 + 0.423926i
\(335\) −2.96077 12.9720i −0.161764 0.708735i
\(336\) −1.94504 + 0.936683i −0.106111 + 0.0511002i
\(337\) 21.4644 1.16924 0.584621 0.811307i \(-0.301243\pi\)
0.584621 + 0.811307i \(0.301243\pi\)
\(338\) 10.0175 0.544878
\(339\) −7.35958 + 3.54419i −0.399718 + 0.192494i
\(340\) 0.968541 4.24346i 0.0525265 0.230134i
\(341\) 0.949222 1.19029i 0.0514033 0.0644577i
\(342\) 3.58695 + 4.49789i 0.193960 + 0.243218i
\(343\) 15.0532 0.812798
\(344\) 0.799782 + 17.6346i 0.0431213 + 0.950796i
\(345\) 23.0858 1.24290
\(346\) 1.09299 + 1.37057i 0.0587595 + 0.0736821i
\(347\) −15.9717 + 20.0278i −0.857403 + 1.07515i 0.138990 + 0.990294i \(0.455614\pi\)
−0.996393 + 0.0848561i \(0.972957\pi\)
\(348\) −4.75571 + 20.8361i −0.254933 + 1.11693i
\(349\) 8.72132 4.19997i 0.466842 0.224819i −0.185649 0.982616i \(-0.559439\pi\)
0.652490 + 0.757797i \(0.273724\pi\)
\(350\) 0.960771 0.0513554
\(351\) −74.4747 −3.97517
\(352\) 1.76002 0.847581i 0.0938094 0.0451762i
\(353\) 0.0924579 + 0.405084i 0.00492104 + 0.0215605i 0.977329 0.211727i \(-0.0679088\pi\)
−0.972408 + 0.233288i \(0.925052\pi\)
\(354\) −29.1042 14.0158i −1.54687 0.744933i
\(355\) −0.298290 1.30689i −0.0158316 0.0693627i
\(356\) 11.8294 + 14.8336i 0.626956 + 0.786178i
\(357\) 5.62133 2.70709i 0.297513 0.143274i
\(358\) 5.10872 + 6.40613i 0.270004 + 0.338575i
\(359\) 1.58964 6.96466i 0.0838979 0.367581i −0.915498 0.402321i \(-0.868203\pi\)
0.999396 + 0.0347408i \(0.0110606\pi\)
\(360\) −36.5894 17.6205i −1.92843 0.928683i
\(361\) 16.3034 + 7.85132i 0.858075 + 0.413227i
\(362\) −6.63922 + 8.32532i −0.348950 + 0.437569i
\(363\) −7.86658 + 34.4658i −0.412889 + 1.80898i
\(364\) −1.82640 8.00197i −0.0957292 0.419417i
\(365\) 6.95407 8.72012i 0.363992 0.456432i
\(366\) −7.51842 + 9.42780i −0.392994 + 0.492799i
\(367\) −1.78113 7.80363i −0.0929741 0.407346i 0.906929 0.421284i \(-0.138420\pi\)
−0.999903 + 0.0139379i \(0.995563\pi\)
\(368\) −0.439001 + 1.92339i −0.0228845 + 0.100264i
\(369\) 27.2292 34.1443i 1.41749 1.77748i
\(370\) 6.53319 + 3.14622i 0.339644 + 0.163564i
\(371\) 2.87651 + 1.38525i 0.149341 + 0.0719188i
\(372\) 4.45377 19.5132i 0.230917 1.01171i
\(373\) 12.2823 + 15.4015i 0.635955 + 0.797462i 0.990491 0.137581i \(-0.0439326\pi\)
−0.354536 + 0.935042i \(0.615361\pi\)
\(374\) −0.388355 + 0.187022i −0.0200813 + 0.00967067i
\(375\) −24.2935 30.4631i −1.25451 1.57311i
\(376\) −0.599031 2.62453i −0.0308927 0.135350i
\(377\) −22.0661 10.6265i −1.13646 0.547292i
\(378\) −3.15356 13.8167i −0.162202 0.710652i
\(379\) 11.8204 5.69238i 0.607171 0.292398i −0.104925 0.994480i \(-0.533460\pi\)
0.712096 + 0.702082i \(0.247746\pi\)
\(380\) 2.58104 0.132405
\(381\) −15.1782 −0.777603
\(382\) 15.4858 7.45755i 0.792321 0.381561i
\(383\) 1.34266 5.88257i 0.0686066 0.300585i −0.928971 0.370154i \(-0.879305\pi\)
0.997577 + 0.0695683i \(0.0221622\pi\)
\(384\) 17.8143 22.3384i 0.909083 1.13995i
\(385\) −0.500664 0.627813i −0.0255162 0.0319963i
\(386\) −7.01315 −0.356960
\(387\) 48.6710 + 8.81026i 2.47408 + 0.447851i
\(388\) −20.6222 −1.04693
\(389\) −0.502688 0.630351i −0.0254873 0.0319601i 0.768924 0.639340i \(-0.220792\pi\)
−0.794412 + 0.607380i \(0.792221\pi\)
\(390\) 16.3937 20.5571i 0.830129 1.04095i
\(391\) 1.26875 5.55876i 0.0641634 0.281118i
\(392\) −13.4966 + 6.49964i −0.681684 + 0.328282i
\(393\) 14.2741 0.720034
\(394\) 14.8649 0.748881
\(395\) 7.89977 3.80433i 0.397481 0.191417i
\(396\) −0.763242 3.34398i −0.0383543 0.168041i
\(397\) −8.36927 4.03043i −0.420042 0.202281i 0.211910 0.977289i \(-0.432032\pi\)
−0.631952 + 0.775008i \(0.717746\pi\)
\(398\) 0.610449 + 2.67455i 0.0305990 + 0.134063i
\(399\) 2.30678 + 2.89261i 0.115484 + 0.144812i
\(400\) 0.500000 0.240787i 0.0250000 0.0120394i
\(401\) −17.0553 21.3866i −0.851699 1.06800i −0.996907 0.0785953i \(-0.974957\pi\)
0.145208 0.989401i \(-0.453615\pi\)
\(402\) −3.85474 + 16.8887i −0.192257 + 0.842333i
\(403\) 20.6652 + 9.95182i 1.02941 + 0.495736i
\(404\) −19.5456 9.41265i −0.972428 0.468297i
\(405\) −31.5066 + 39.5081i −1.56558 + 1.96317i
\(406\) 1.03707 4.54371i 0.0514691 0.225501i
\(407\) 0.337150 + 1.47715i 0.0167119 + 0.0732196i
\(408\) −8.74094 + 10.9608i −0.432741 + 0.542640i
\(409\) −2.29440 + 2.87709i −0.113451 + 0.142263i −0.835314 0.549772i \(-0.814714\pi\)
0.721863 + 0.692036i \(0.243286\pi\)
\(410\) 2.06638 + 9.05338i 0.102051 + 0.447115i
\(411\) 4.06465 17.8084i 0.200494 0.878423i
\(412\) −12.7627 + 16.0039i −0.628774 + 0.788457i
\(413\) −13.3910 6.44879i −0.658930 0.317324i
\(414\) −19.3741 9.33008i −0.952186 0.458549i
\(415\) −2.70841 + 11.8663i −0.132951 + 0.582496i
\(416\) 18.3497 + 23.0097i 0.899666 + 1.12815i
\(417\) 48.3950 23.3058i 2.36991 1.14129i
\(418\) −0.159366 0.199839i −0.00779485 0.00977443i
\(419\) 5.62833 + 24.6593i 0.274962 + 1.20469i 0.904075 + 0.427374i \(0.140561\pi\)
−0.629113 + 0.777314i \(0.716582\pi\)
\(420\) −9.51142 4.58046i −0.464110 0.223503i
\(421\) −3.82813 16.7721i −0.186571 0.817423i −0.978407 0.206688i \(-0.933731\pi\)
0.791835 0.610735i \(-0.209126\pi\)
\(422\) −6.43416 + 3.09853i −0.313210 + 0.150834i
\(423\) −7.54288 −0.366747
\(424\) −7.17390 −0.348395
\(425\) −1.44504 + 0.695895i −0.0700948 + 0.0337559i
\(426\) −0.388355 + 1.70149i −0.0188159 + 0.0824376i
\(427\) −3.45928 + 4.33780i −0.167406 + 0.209921i
\(428\) −3.10872 3.89821i −0.150266 0.188427i
\(429\) 5.49396 0.265251
\(430\) −7.91723 + 6.92325i −0.381803 + 0.333869i
\(431\) 3.73364 0.179843 0.0899216 0.995949i \(-0.471338\pi\)
0.0899216 + 0.995949i \(0.471338\pi\)
\(432\) −5.10388 6.40006i −0.245560 0.307923i
\(433\) 13.3877 16.7876i 0.643371 0.806762i −0.348049 0.937476i \(-0.613156\pi\)
0.991420 + 0.130714i \(0.0417271\pi\)
\(434\) −0.971229 + 4.25523i −0.0466205 + 0.204258i
\(435\) −28.3817 + 13.6679i −1.36080 + 0.655325i
\(436\) 7.63342 0.365574
\(437\) 3.38106 0.161738
\(438\) −13.0831 + 6.30047i −0.625133 + 0.301048i
\(439\) 2.93458 + 12.8573i 0.140060 + 0.613643i 0.995419 + 0.0956075i \(0.0304794\pi\)
−0.855359 + 0.518036i \(0.826663\pi\)
\(440\) 1.62565 + 0.782870i 0.0774996 + 0.0373218i
\(441\) 9.33997 + 40.9211i 0.444760 + 1.94862i
\(442\) −4.04892 5.07718i −0.192587 0.241497i
\(443\) 25.4148 12.2391i 1.20750 0.581499i 0.281692 0.959505i \(-0.409104\pi\)
0.925803 + 0.378006i \(0.123390\pi\)
\(444\) 12.4194 + 15.5734i 0.589398 + 0.739082i
\(445\) −6.22282 + 27.2639i −0.294990 + 1.29243i
\(446\) 3.53319 + 1.70149i 0.167301 + 0.0805681i
\(447\) 26.3572 + 12.6930i 1.24665 + 0.600356i
\(448\) −2.66272 + 3.33894i −0.125802 + 0.157750i
\(449\) −5.38955 + 23.6132i −0.254349 + 1.11437i 0.672843 + 0.739786i \(0.265073\pi\)
−0.927191 + 0.374589i \(0.877784\pi\)
\(450\) 1.34601 + 5.89726i 0.0634516 + 0.277999i
\(451\) −1.20978 + 1.51701i −0.0569661 + 0.0714332i
\(452\) 2.12833 2.66885i 0.100108 0.125532i
\(453\) −2.08815 9.14877i −0.0981097 0.429846i
\(454\) 0.741176 3.24730i 0.0347851 0.152403i
\(455\) 7.54288 9.45847i 0.353616 0.443420i
\(456\) −7.49007 3.60703i −0.350755 0.168915i
\(457\) −21.1250 10.1733i −0.988185 0.475885i −0.131272 0.991346i \(-0.541906\pi\)
−0.856913 + 0.515462i \(0.827620\pi\)
\(458\) 3.48835 15.2834i 0.163000 0.714148i
\(459\) 14.7506 + 18.4967i 0.688500 + 0.863352i
\(460\) −8.69202 + 4.18586i −0.405268 + 0.195167i
\(461\) −10.3626 12.9942i −0.482633 0.605203i 0.479581 0.877498i \(-0.340789\pi\)
−0.962214 + 0.272295i \(0.912217\pi\)
\(462\) 0.232637 + 1.01925i 0.0108232 + 0.0474197i
\(463\) 5.18114 + 2.49510i 0.240788 + 0.115957i 0.550386 0.834910i \(-0.314480\pi\)
−0.309599 + 0.950867i \(0.600195\pi\)
\(464\) −0.599031 2.62453i −0.0278093 0.121841i
\(465\) 26.5797 12.8001i 1.23260 0.593591i
\(466\) −6.22175 −0.288217
\(467\) 23.4547 1.08536 0.542678 0.839941i \(-0.317410\pi\)
0.542678 + 0.839941i \(0.317410\pi\)
\(468\) 46.5577 22.4210i 2.15213 1.03641i
\(469\) −1.77359 + 7.77062i −0.0818970 + 0.358814i
\(470\) 1.00000 1.25396i 0.0461266 0.0578409i
\(471\) −46.7911 58.6742i −2.15602 2.70356i
\(472\) 33.3967 1.53721
\(473\) −2.16242 0.391435i −0.0994283 0.0179982i
\(474\) −11.4155 −0.524331
\(475\) −0.592990 0.743586i −0.0272083 0.0341181i
\(476\) −1.62565 + 2.03850i −0.0745114 + 0.0934343i
\(477\) −4.47285 + 19.5968i −0.204798 + 0.897278i
\(478\) −11.3077 + 5.44552i −0.517204 + 0.249072i
\(479\) 26.7278 1.22122 0.610612 0.791930i \(-0.290924\pi\)
0.610612 + 0.791930i \(0.290924\pi\)
\(480\) 37.8538 1.72778
\(481\) −20.5661 + 9.90413i −0.937735 + 0.451589i
\(482\) 1.71121 + 7.49730i 0.0779434 + 0.341492i
\(483\) −12.4596 6.00022i −0.566930 0.273019i
\(484\) −3.28740 14.4031i −0.149427 0.654685i
\(485\) −18.9517 23.7646i −0.860551 1.07910i
\(486\) 27.3022 13.1481i 1.23845 0.596408i
\(487\) −6.25116 7.83871i −0.283267 0.355206i 0.619758 0.784793i \(-0.287231\pi\)
−0.903025 + 0.429587i \(0.858659\pi\)
\(488\) 2.77413 12.1542i 0.125579 0.550197i
\(489\) −36.7443 17.6951i −1.66164 0.800202i
\(490\) −8.04115 3.87241i −0.363262 0.174938i
\(491\) −13.1114 + 16.4412i −0.591710 + 0.741980i −0.984060 0.177835i \(-0.943091\pi\)
0.392351 + 0.919816i \(0.371662\pi\)
\(492\) −5.67629 + 24.8695i −0.255907 + 1.12120i
\(493\) 1.73125 + 7.58510i 0.0779716 + 0.341616i
\(494\) 2.40097 3.01072i 0.108025 0.135459i
\(495\) 3.15213 3.95264i 0.141678 0.177658i
\(496\) 0.560999 + 2.45790i 0.0251896 + 0.110363i
\(497\) −0.178685 + 0.782870i −0.00801511 + 0.0351165i
\(498\) 9.88016 12.3893i 0.442740 0.555179i
\(499\) −27.8279 13.4012i −1.24575 0.599920i −0.309379 0.950939i \(-0.600121\pi\)
−0.936369 + 0.351019i \(0.885835\pi\)
\(500\) 14.6703 + 7.06482i 0.656074 + 0.315948i
\(501\) −16.0879 + 70.4857i −0.718755 + 3.14907i
\(502\) −6.56584 8.23331i −0.293048 0.367470i
\(503\) 27.8751 13.4239i 1.24289 0.598543i 0.307292 0.951615i \(-0.400577\pi\)
0.935596 + 0.353072i \(0.114863\pi\)
\(504\) 15.1679 + 19.0199i 0.675630 + 0.847213i
\(505\) −7.11529 31.1741i −0.316626 1.38723i
\(506\) 0.860781 + 0.414530i 0.0382664 + 0.0184281i
\(507\) 9.02542 + 39.5429i 0.400833 + 1.75616i
\(508\) 5.71475 2.75208i 0.253551 0.122104i
\(509\) −22.4494 −0.995050 −0.497525 0.867450i \(-0.665758\pi\)
−0.497525 + 0.867450i \(0.665758\pi\)
\(510\) −8.35258 −0.369859
\(511\) −6.01961 + 2.89889i −0.266292 + 0.128239i
\(512\) −1.38471 + 6.06680i −0.0611960 + 0.268117i
\(513\) −8.74698 + 10.9684i −0.386189 + 0.484265i
\(514\) −8.91066 11.1736i −0.393032 0.492847i
\(515\) −30.1715 −1.32952
\(516\) −27.8463 + 7.69834i −1.22587 + 0.338900i
\(517\) 0.335126 0.0147388
\(518\) −2.70828 3.39608i −0.118995 0.149215i
\(519\) −4.42543 + 5.54931i −0.194255 + 0.243588i
\(520\) −6.04892 + 26.5020i −0.265263 + 1.16219i
\(521\) 14.7066 7.08230i 0.644306 0.310281i −0.0830464 0.996546i \(-0.526465\pi\)
0.727352 + 0.686264i \(0.240751\pi\)
\(522\) 29.3424 1.28428
\(523\) 4.42626 0.193547 0.0967733 0.995306i \(-0.469148\pi\)
0.0967733 + 0.995306i \(0.469148\pi\)
\(524\) −5.37435 + 2.58815i −0.234780 + 0.113064i
\(525\) 0.865625 + 3.79255i 0.0377790 + 0.165521i
\(526\) 23.0836 + 11.1165i 1.00649 + 0.484701i
\(527\) −1.62133 7.10353i −0.0706264 0.309435i
\(528\) 0.376510 + 0.472129i 0.0163855 + 0.0205468i
\(529\) 9.33609 4.49602i 0.405917 0.195479i
\(530\) −2.66487 3.34165i −0.115755 0.145152i
\(531\) 20.8225 91.2294i 0.903620 3.95902i
\(532\) −1.39301 0.670838i −0.0603946 0.0290845i
\(533\) −26.3376 12.6835i −1.14081 0.549384i
\(534\) 22.7005 28.4655i 0.982347 1.23182i
\(535\) 1.63533 7.16487i 0.0707017 0.309764i
\(536\) −3.98523 17.4604i −0.172136 0.754176i
\(537\) −20.6848 + 25.9379i −0.892614 + 1.11930i
\(538\) −0.426624 + 0.534970i −0.0183931 + 0.0230642i
\(539\) −0.414969 1.81810i −0.0178740 0.0783111i
\(540\) 8.90754 39.0265i 0.383320 1.67943i
\(541\) −3.52595 + 4.42140i −0.151592 + 0.190091i −0.851829 0.523820i \(-0.824506\pi\)
0.700237 + 0.713911i \(0.253078\pi\)
\(542\) −1.64622 0.792778i −0.0707112 0.0340527i
\(543\) −38.8451 18.7068i −1.66700 0.802786i
\(544\) 2.08038 9.11472i 0.0891954 0.390791i
\(545\) 7.01507 + 8.79661i 0.300492 + 0.376806i
\(546\) −14.1908 + 6.83394i −0.607311 + 0.292466i
\(547\) 11.7424 + 14.7245i 0.502070 + 0.629576i 0.966695 0.255932i \(-0.0823822\pi\)
−0.464625 + 0.885508i \(0.653811\pi\)
\(548\) 1.69859 + 7.44203i 0.0725604 + 0.317908i
\(549\) −31.4720 15.1561i −1.34319 0.646846i
\(550\) −0.0598025 0.262012i −0.00254999 0.0111722i
\(551\) −4.15668 + 2.00175i −0.177080 + 0.0852774i
\(552\) 31.0737 1.32258
\(553\) −5.25236 −0.223353
\(554\) −2.51261 + 1.21001i −0.106751 + 0.0514084i
\(555\) −6.53319 + 28.6238i −0.277318 + 1.21501i
\(556\) −13.9955 + 17.5497i −0.593539 + 0.744275i
\(557\) 23.7032 + 29.7229i 1.00434 + 1.25940i 0.965568 + 0.260150i \(0.0837722\pi\)
0.0387688 + 0.999248i \(0.487656\pi\)
\(558\) −27.4795 −1.16330
\(559\) −1.50000 33.0740i −0.0634432 1.39888i
\(560\) 1.32975 0.0561921
\(561\) −1.08815 1.36449i −0.0459416 0.0576089i
\(562\) −9.05107 + 11.3497i −0.381796 + 0.478758i
\(563\) 9.62684 42.1780i 0.405723 1.77759i −0.197799 0.980243i \(-0.563379\pi\)
0.603522 0.797346i \(-0.293763\pi\)
\(564\) 3.96950 1.91161i 0.167146 0.0804933i
\(565\) 5.03146 0.211675
\(566\) −19.1390 −0.804471
\(567\) 27.2729 13.1340i 1.14536 0.551574i
\(568\) −0.401501 1.75909i −0.0168466 0.0738099i
\(569\) 31.9288 + 15.3761i 1.33853 + 0.644600i 0.959742 0.280884i \(-0.0906277\pi\)
0.378785 + 0.925485i \(0.376342\pi\)
\(570\) −1.10215 4.82882i −0.0461638 0.202257i
\(571\) 26.8391 + 33.6551i 1.12318 + 1.40842i 0.901217 + 0.433368i \(0.142675\pi\)
0.221963 + 0.975055i \(0.428754\pi\)
\(572\) −2.06853 + 0.996152i −0.0864897 + 0.0416512i
\(573\) 43.3901 + 54.4095i 1.81265 + 2.27299i
\(574\) 1.23782 5.42326i 0.0516658 0.226362i
\(575\) 3.20291 + 1.54244i 0.133570 + 0.0643241i
\(576\) −24.2250 11.6661i −1.00937 0.486089i
\(577\) −9.76002 + 12.2387i −0.406315 + 0.509503i −0.942321 0.334712i \(-0.891361\pi\)
0.536006 + 0.844214i \(0.319933\pi\)
\(578\) 2.57457 11.2799i 0.107088 0.469184i
\(579\) −6.31863 27.6837i −0.262593 1.15050i
\(580\) 8.20775 10.2922i 0.340808 0.427360i
\(581\) 4.54593 5.70042i 0.188597 0.236493i
\(582\) 8.80601 + 38.5817i 0.365021 + 1.59926i
\(583\) 0.198726 0.870677i 0.00823040 0.0360597i
\(584\) 9.36025 11.7374i 0.387330 0.485696i
\(585\) 68.6238 + 33.0475i 2.83725 + 1.36635i
\(586\) −19.8710 9.56937i −0.820864 0.395307i
\(587\) 4.35258 19.0699i 0.179650 0.787100i −0.802141 0.597135i \(-0.796306\pi\)
0.981791 0.189964i \(-0.0608373\pi\)
\(588\) −15.2860 19.1680i −0.630383 0.790475i
\(589\) 3.89277 1.87466i 0.160399 0.0772440i
\(590\) 12.4058 + 15.5564i 0.510739 + 0.640447i
\(591\) 13.3928 + 58.6776i 0.550905 + 2.41367i
\(592\) −2.26055 1.08863i −0.0929082 0.0447422i
\(593\) 9.01424 + 39.4940i 0.370170 + 1.62182i 0.726294 + 0.687384i \(0.241241\pi\)
−0.356124 + 0.934439i \(0.615902\pi\)
\(594\) −3.57165 + 1.72001i −0.146546 + 0.0705731i
\(595\) −3.84309 −0.157551
\(596\) −12.2252 −0.500764
\(597\) −10.0075 + 4.81937i −0.409581 + 0.197244i
\(598\) −3.20291 + 14.0329i −0.130977 + 0.573846i
\(599\) −22.5371 + 28.2607i −0.920842 + 1.15470i 0.0667673 + 0.997769i \(0.478731\pi\)
−0.987610 + 0.156931i \(0.949840\pi\)
\(600\) −5.44989 6.83394i −0.222491 0.278994i
\(601\) −23.5743 −0.961617 −0.480809 0.876826i \(-0.659657\pi\)
−0.480809 + 0.876826i \(0.659657\pi\)
\(602\) 6.07242 1.67877i 0.247493 0.0684215i
\(603\) −50.1812 −2.04354
\(604\) 2.44504 + 3.06599i 0.0994873 + 0.124753i
\(605\) 13.5767 17.0247i 0.551973 0.692152i
\(606\) −9.26367 + 40.5868i −0.376311 + 1.64873i
\(607\) 4.54407 2.18831i 0.184438 0.0888208i −0.339386 0.940647i \(-0.610219\pi\)
0.523824 + 0.851826i \(0.324505\pi\)
\(608\) 5.54394 0.224837
\(609\) 18.8702 0.764660
\(610\) 6.69202 3.22271i 0.270952 0.130484i
\(611\) 1.12349 + 4.92233i 0.0454515 + 0.199136i
\(612\) −14.7899 7.12242i −0.597845 0.287907i
\(613\) −6.06398 26.5680i −0.244922 1.07307i −0.936471 0.350744i \(-0.885929\pi\)
0.691549 0.722329i \(-0.256928\pi\)
\(614\) −10.1419 12.7175i −0.409294 0.513239i
\(615\) −33.8756 + 16.3136i −1.36600 + 0.657829i
\(616\) −0.673899 0.845043i −0.0271522 0.0340477i
\(617\) 5.25076 23.0051i 0.211388 0.926150i −0.752238 0.658892i \(-0.771025\pi\)
0.963625 0.267258i \(-0.0861174\pi\)
\(618\) 35.3913 + 17.0436i 1.42365 + 0.685593i
\(619\) 37.9686 + 18.2847i 1.52609 + 0.734925i 0.993752 0.111609i \(-0.0356005\pi\)
0.532335 + 0.846534i \(0.321315\pi\)
\(620\) −7.68664 + 9.63875i −0.308703 + 0.387101i
\(621\) 11.6685 51.1231i 0.468242 2.05150i
\(622\) 1.02004 + 4.46909i 0.0408999 + 0.179194i
\(623\) 10.4447 13.0972i 0.418457 0.524728i
\(624\) −5.67241 + 7.11297i −0.227078 + 0.284747i
\(625\) 4.22790 + 18.5236i 0.169116 + 0.740945i
\(626\) 4.34309 19.0283i 0.173585 0.760524i
\(627\) 0.645260 0.809131i 0.0257692 0.0323136i
\(628\) 28.2560 + 13.6074i 1.12754 + 0.542993i
\(629\) 6.53319 + 3.14622i 0.260495 + 0.125448i
\(630\) −3.22521 + 14.1306i −0.128495 + 0.562975i
\(631\) −14.5070 18.1912i −0.577515 0.724180i 0.404172 0.914683i \(-0.367560\pi\)
−0.981687 + 0.190503i \(0.938988\pi\)
\(632\) 10.6332 5.12067i 0.422965 0.203689i
\(633\) −18.0281 22.6065i −0.716553 0.898529i
\(634\) −2.70464 11.8498i −0.107415 0.470615i
\(635\) 8.42327 + 4.05643i 0.334267 + 0.160975i
\(636\) −2.61260 11.4466i −0.103597 0.453886i
\(637\) 25.3131 12.1902i 1.00294 0.482992i
\(638\) −1.30367 −0.0516127
\(639\) −5.05562 −0.199997
\(640\) −15.8562 + 7.63596i −0.626773 + 0.301838i
\(641\) −2.50700 + 10.9839i −0.0990206 + 0.433837i −1.00000 2.43722e-5i \(-0.999992\pi\)
0.900979 + 0.433862i \(0.142849\pi\)
\(642\) −5.96562 + 7.48065i −0.235444 + 0.295238i
\(643\) −5.65817 7.09512i −0.223136 0.279804i 0.657644 0.753329i \(-0.271553\pi\)
−0.880781 + 0.473524i \(0.842982\pi\)
\(644\) 5.77910 0.227729
\(645\) −34.4620 25.0149i −1.35694 0.984959i
\(646\) −1.22329 −0.0481297
\(647\) −3.99462 5.00910i −0.157045 0.196928i 0.697084 0.716989i \(-0.254480\pi\)
−0.854129 + 0.520061i \(0.825909\pi\)
\(648\) −42.4083 + 53.1783i −1.66595 + 2.08904i
\(649\) −0.925132 + 4.05327i −0.0363146 + 0.159105i
\(650\) 3.64795 1.75676i 0.143084 0.0689058i
\(651\) −17.6722 −0.692627
\(652\) 17.0431 0.667458
\(653\) 25.8315 12.4398i 1.01087 0.486807i 0.146254 0.989247i \(-0.453278\pi\)
0.864612 + 0.502440i \(0.167564\pi\)
\(654\) −3.25959 14.2812i −0.127460 0.558440i
\(655\) −7.92154 3.81481i −0.309520 0.149057i
\(656\) −0.714988 3.13257i −0.0279156 0.122306i
\(657\) −26.2268 32.8874i −1.02321 1.28306i
\(658\) −0.865625 + 0.416863i −0.0337456 + 0.0162510i
\(659\) 5.82118 + 7.29953i 0.226761 + 0.284349i 0.882176 0.470919i \(-0.156078\pi\)
−0.655415 + 0.755269i \(0.727506\pi\)
\(660\) −0.657105 + 2.87896i −0.0255778 + 0.112064i
\(661\) −6.33901 3.05271i −0.246559 0.118737i 0.306523 0.951863i \(-0.400834\pi\)
−0.553082 + 0.833127i \(0.686549\pi\)
\(662\) −16.7524 8.06751i −0.651099 0.313553i
\(663\) 16.3937 20.5571i 0.636680 0.798371i
\(664\) −3.64556 + 15.9722i −0.141475 + 0.619842i
\(665\) −0.507106 2.22178i −0.0196647 0.0861568i
\(666\) 17.0511 21.3814i 0.660716 0.828511i
\(667\) 10.7518 13.4824i 0.416312 0.522039i
\(668\) −6.72305 29.4556i −0.260123 1.13967i
\(669\) −3.53319 + 15.4799i −0.136601 + 0.598488i
\(670\) 6.65279 8.34234i 0.257020 0.322293i
\(671\) 1.39828 + 0.673376i 0.0539800 + 0.0259954i
\(672\) −20.4300 9.83859i −0.788106 0.379532i
\(673\) 0.0866540 0.379656i 0.00334027 0.0146347i −0.973230 0.229832i \(-0.926182\pi\)
0.976571 + 0.215197i \(0.0690395\pi\)
\(674\) 10.7322 + 13.4578i 0.413389 + 0.518374i
\(675\) −13.2899 + 6.40006i −0.511527 + 0.246338i
\(676\) −10.5680 13.2519i −0.406462 0.509687i
\(677\) −0.809602 3.54710i −0.0311155 0.136326i 0.956984 0.290139i \(-0.0937017\pi\)
−0.988100 + 0.153813i \(0.950845\pi\)
\(678\) −5.90193 2.84222i −0.226662 0.109155i
\(679\) 4.05171 + 17.7517i 0.155490 + 0.681248i
\(680\) 7.78017 3.74673i 0.298356 0.143681i
\(681\) 13.4862 0.516792
\(682\) 1.22090 0.0467506
\(683\) −25.1797 + 12.1259i −0.963475 + 0.463985i −0.848391 0.529371i \(-0.822428\pi\)
−0.115084 + 0.993356i \(0.536714\pi\)
\(684\) 2.16607 9.49018i 0.0828218 0.362866i
\(685\) −7.01507 + 8.79661i −0.268032 + 0.336101i
\(686\) 7.52661 + 9.43808i 0.287367 + 0.360347i
\(687\) 63.4728 2.42164
\(688\) 2.73945 2.39552i 0.104440 0.0913283i
\(689\) 13.4547 0.512584
\(690\) 11.5429 + 14.4743i 0.439430 + 0.551028i
\(691\) 16.1848 20.2951i 0.615698 0.772061i −0.372034 0.928219i \(-0.621339\pi\)
0.987732 + 0.156158i \(0.0499109\pi\)
\(692\) 0.660030 2.89178i 0.0250906 0.109929i
\(693\) −2.72856 + 1.31401i −0.103649 + 0.0499150i
\(694\) −20.5429 −0.779797
\(695\) −33.0858 −1.25501
\(696\) −38.2020 + 18.3971i −1.44804 + 0.697341i
\(697\) 2.06638 + 9.05338i 0.0782696 + 0.342921i
\(698\) 6.99396 + 3.36811i 0.264725 + 0.127485i
\(699\) −5.60560 24.5598i −0.212023 0.928935i
\(700\) −1.01357 1.27098i −0.0383095 0.0480386i
\(701\) 38.4529 18.5179i 1.45234 0.699412i 0.469344 0.883015i \(-0.344490\pi\)
0.983001 + 0.183603i \(0.0587760\pi\)
\(702\) −37.2373 46.6942i −1.40543 1.76236i
\(703\) −0.956828 + 4.19214i −0.0360874 + 0.158109i
\(704\) 1.07630 + 0.518319i 0.0405646 + 0.0195349i
\(705\) 5.85086 + 2.81762i 0.220356 + 0.106118i
\(706\) −0.207751 + 0.260511i −0.00781881 + 0.00980448i
\(707\) −4.26228 + 18.6743i −0.160300 + 0.702319i
\(708\) 12.1625 + 53.2873i 0.457094 + 2.00266i
\(709\) −17.4400 + 21.8690i −0.654971 + 0.821308i −0.992785 0.119905i \(-0.961741\pi\)
0.337814 + 0.941213i \(0.390313\pi\)
\(710\) 0.670251 0.840468i 0.0251541 0.0315422i
\(711\) −7.35839 32.2392i −0.275961 1.20906i
\(712\) −8.37598 + 36.6976i −0.313903 + 1.37530i
\(713\) −10.0692 + 12.6264i −0.377094 + 0.472861i
\(714\) 4.50796 + 2.17092i 0.168706 + 0.0812446i
\(715\) −3.04892 1.46828i −0.114023 0.0549106i
\(716\) 3.08503 13.5164i 0.115293 0.505132i
\(717\) −31.6836 39.7300i −1.18325 1.48374i
\(718\) 5.16152 2.48566i 0.192626 0.0927639i
\(719\) 23.7969 + 29.8403i 0.887473 + 1.11286i 0.992962 + 0.118435i \(0.0377879\pi\)
−0.105489 + 0.994420i \(0.533641\pi\)
\(720\) 1.86294 + 8.16206i 0.0694276 + 0.304182i
\(721\) 16.2838 + 7.84187i 0.606441 + 0.292047i
\(722\) 3.22909 + 14.1476i 0.120174 + 0.526519i
\(723\) −28.0531 + 13.5097i −1.04331 + 0.502430i
\(724\) 18.0175 0.669614
\(725\) −4.85086 −0.180156
\(726\) −25.5426 + 12.3007i −0.947976 + 0.456521i
\(727\) 6.28687 27.5446i 0.233167 1.02157i −0.713827 0.700322i \(-0.753040\pi\)
0.946994 0.321250i \(-0.104103\pi\)
\(728\) 10.1528 12.7312i 0.376288 0.471850i
\(729\) 29.2392 + 36.6648i 1.08293 + 1.35796i
\(730\) 8.94438 0.331046
\(731\) −7.91723 + 6.92325i −0.292829 + 0.256066i
\(732\) 20.4034 0.754132
\(733\) −5.51775 6.91904i −0.203803 0.255561i 0.669417 0.742887i \(-0.266544\pi\)
−0.873220 + 0.487326i \(0.837972\pi\)
\(734\) 4.00216 5.01854i 0.147722 0.185238i
\(735\) 8.04115 35.2306i 0.296602 1.29950i
\(736\) −18.6700 + 8.99100i −0.688186 + 0.331413i
\(737\) 2.22952 0.0821255
\(738\) 35.0224 1.28919
\(739\) −33.9729 + 16.3605i −1.24971 + 0.601830i −0.937435 0.348160i \(-0.886807\pi\)
−0.312279 + 0.949991i \(0.601092\pi\)
\(740\) −2.73019 11.9617i −0.100364 0.439722i
\(741\) 14.0477 + 6.76503i 0.516056 + 0.248519i
\(742\) 0.569728 + 2.49614i 0.0209154 + 0.0916363i
\(743\) 3.45779 + 4.33593i 0.126854 + 0.159070i 0.841202 0.540720i \(-0.181848\pi\)
−0.714349 + 0.699790i \(0.753277\pi\)
\(744\) 35.7766 17.2291i 1.31163 0.631649i
\(745\) −11.2349 14.0881i −0.411615 0.516149i
\(746\) −3.51530 + 15.4015i −0.128704 + 0.563891i
\(747\) 41.3582 + 19.9170i 1.51322 + 0.728726i
\(748\) 0.657105 + 0.316445i 0.0240261 + 0.0115704i
\(749\) −2.74482 + 3.44190i −0.100294 + 0.125764i
\(750\) 6.95300 30.4631i 0.253888 1.11235i
\(751\) 7.78621 + 34.1136i 0.284123 + 1.24482i 0.892453 + 0.451140i \(0.148982\pi\)
−0.608331 + 0.793684i \(0.708161\pi\)
\(752\) −0.346011 + 0.433884i −0.0126177 + 0.0158221i
\(753\) 26.5846 33.3360i 0.968795 1.21483i
\(754\) −4.37047 19.1483i −0.159163 0.697339i
\(755\) −1.28621 + 5.63525i −0.0468099 + 0.205088i
\(756\) −14.9508 + 18.7478i −0.543757 + 0.681850i
\(757\) −39.1764 18.8663i −1.42389 0.685709i −0.446038 0.895014i \(-0.647165\pi\)
−0.977850 + 0.209305i \(0.932880\pi\)
\(758\) 9.47919 + 4.56494i 0.344300 + 0.165806i
\(759\) −0.860781 + 3.77133i −0.0312444 + 0.136890i
\(760\) 3.19269 + 4.00350i 0.115811 + 0.145222i
\(761\) −23.5846 + 11.3577i −0.854940 + 0.411717i −0.809409 0.587246i \(-0.800212\pi\)
−0.0455308 + 0.998963i \(0.514498\pi\)
\(762\) −7.58911 9.51644i −0.274924 0.344744i
\(763\) −1.49976 6.57089i −0.0542951 0.237882i
\(764\) −26.2022 12.6183i −0.947964 0.456515i
\(765\) −5.38404 23.5890i −0.194660 0.852863i
\(766\) 4.35958 2.09947i 0.157518 0.0758568i
\(767\) −62.6359 −2.26165
\(768\) 46.0616 1.66210
\(769\) 32.1836 15.4988i 1.16057 0.558901i 0.248378 0.968663i \(-0.420103\pi\)
0.912192 + 0.409762i \(0.134388\pi\)
\(770\) 0.143294 0.627813i 0.00516396 0.0226248i
\(771\) 36.0785 45.2410i 1.29934 1.62932i