Properties

Label 43.2.e.b.4.1
Level $43$
Weight $2$
Character 43.4
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 4.1
Root \(0.222521 - 0.974928i\) of defining polynomial
Character \(\chi\) \(=\) 43.4
Dual form 43.2.e.b.11.1

$q$-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})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6q + 3q^{2} - 3q^{3} - 7q^{4} + 2q^{5} + 2q^{6} - 16q^{7} + q^{8} - 6q^{9} + O(q^{10}) \) \( 6q + 3q^{2} - 3q^{3} - 7q^{4} + 2q^{5} + 2q^{6} - 16q^{7} + q^{8} - 6q^{9} + 8q^{10} + 14q^{11} + 7q^{12} - 9q^{13} - 8q^{14} - 8q^{15} - 3q^{16} + 8q^{17} + 4q^{18} - 4q^{19} + 14q^{20} + q^{21} + q^{23} - 11q^{24} + q^{25} - 8q^{26} + 33q^{27} + 28q^{28} + 9q^{29} - 18q^{30} - 18q^{31} - 21q^{32} + 7q^{33} + 18q^{34} + 4q^{35} - 14q^{36} - 4q^{37} - 16q^{38} + 8q^{39} + 12q^{40} + 23q^{41} - 24q^{42} - 29q^{43} - 42q^{44} - 30q^{45} + 11q^{46} + q^{47} + 5q^{48} + 10q^{49} + 4q^{50} - 18q^{51} - 10q^{53} + 27q^{54} + 14q^{55} + 9q^{56} + 2q^{57} - 13q^{58} + 22q^{59} + 28q^{60} + 19q^{61} + 12q^{62} + 9q^{63} + 13q^{64} - 10q^{65} + 28q^{66} - 4q^{67} + 17q^{69} - 26q^{70} + 28q^{71} - 15q^{72} + 21q^{73} - 2q^{74} - 4q^{75} + 28q^{76} - 49q^{77} + 25q^{78} + 6q^{79} - 8q^{80} - 58q^{81} - 13q^{82} - 39q^{83} - 14q^{84} - 16q^{85} - 25q^{86} - 22q^{87} - 21q^{88} + 11q^{89} + 6q^{90} + 10q^{91} - 14q^{92} + 16q^{93} + 4q^{94} + 8q^{95} + 21q^{96} - 19q^{97} + 5q^{98} + 14q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{2}{7}\right)\)

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 −0.572972 0.819575i \(-0.694209\pi\)
0.926525 + 0.376233i \(0.122781\pi\)
\(3\) −2.02446 2.53859i −1.16882 1.46566i −0.856851 0.515564i \(-0.827582\pi\)
−0.311971 0.950092i \(-0.600989\pi\)
\(4\) 0.301938 + 1.32288i 0.150969 + 0.661438i
\(5\) 1.80194 + 0.867767i 0.805851 + 0.388077i 0.791003 0.611812i \(-0.209559\pi\)
0.0148481 + 0.999890i \(0.495274\pi\)
\(6\) −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 −0.962441 0.271492i \(-0.912483\pi\)
0.984925 + 0.172981i \(0.0553400\pi\)
\(12\) 2.74698 3.44460i 0.792985 0.994371i
\(13\) −4.54892 2.19064i −1.26164 0.607575i −0.321034 0.947068i \(-0.604030\pi\)
−0.940609 + 0.339493i \(0.889745\pi\)
\(14\) −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 −0.250361 0.968153i \(-0.580549\pi\)
0.600835 + 0.799373i \(0.294835\pi\)
\(18\) 3.77144 + 4.72923i 0.888937 + 1.11469i
\(19\) −0.211636 0.927237i −0.0485526 0.212723i 0.944832 0.327554i \(-0.106224\pi\)
−0.993385 + 0.114831i \(0.963367\pi\)
\(20\) −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 0.823021 + 0.568011i \(0.192287\pi\)
−0.987967 + 0.154664i \(0.950570\pi\)
\(24\) −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 −0.417230 0.908801i \(-0.636999\pi\)
0.978858 + 0.204542i \(0.0655705\pi\)
\(30\) −4.69202 2.25956i −0.856642 0.412537i
\(31\) −2.83244 + 3.55176i −0.508721 + 0.637916i −0.968172 0.250288i \(-0.919475\pi\)
0.459451 + 0.888203i \(0.348046\pi\)
\(32\) −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 −0.415476 0.909604i \(-0.636385\pi\)
0.979251 + 0.202654i \(0.0649565\pi\)
\(42\) 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 0.988561 0.150824i \(-0.0481928\pi\)
−0.956103 + 0.293032i \(0.905336\pi\)
\(48\) 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 −0.591454 0.806339i \(-0.701446\pi\)
0.261656 + 0.965161i \(0.415732\pi\)
\(54\) 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 0.471673 0.881774i \(-0.343650\pi\)
0.983482 + 0.181008i \(0.0579361\pi\)
\(60\) 7.93900 3.82322i 1.02492 0.493576i
\(61\) 2.88740 + 3.62068i 0.369693 + 0.463580i 0.931528 0.363669i \(-0.118476\pi\)
−0.561835 + 0.827249i \(0.689905\pi\)
\(62\) 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 0.981223 + 0.192877i \(0.0617819\pi\)
−0.800365 + 0.599513i \(0.795361\pi\)
\(68\) 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 0.983007 0.183570i \(-0.0587654\pi\)
−0.965306 + 0.261120i \(0.915908\pi\)
\(72\) −12.6603 + 15.8755i −1.49203 + 1.87095i
\(73\) 5.02446 + 2.41965i 0.588068 + 0.283199i 0.704162 0.710039i \(-0.251323\pi\)
−0.116093 + 0.993238i \(0.537037\pi\)
\(74\) 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 0.528689 0.848816i \(-0.322684\pi\)
−0.945179 + 0.326554i \(0.894113\pi\)
\(84\) −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 −0.986992 0.160768i \(-0.948603\pi\)
0.0628890 0.998021i \(-0.479969\pi\)
\(90\) 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 0.448512 + 0.893777i \(0.351954\pi\)
−0.791891 + 0.610663i \(0.790903\pi\)
\(98\) −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 0.767852 + 0.640627i \(0.221326\pi\)
−0.413853 + 0.910344i \(0.635817\pi\)
\(102\) −3.76271 + 1.81203i −0.372564 + 0.179417i
\(103\) −13.5918 + 6.54546i −1.33924 + 0.644944i −0.959907 0.280317i \(-0.909560\pi\)
−0.379332 + 0.925261i \(0.623846\pi\)
\(104\) −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 0.880142 0.474710i \(-0.157447\pi\)
−0.658658 + 0.752442i \(0.728876\pi\)
\(108\) 12.4792 + 15.6484i 1.20081 + 1.50577i
\(109\) 1.25182 5.48460i 0.119903 0.525329i −0.878926 0.476957i \(-0.841740\pi\)
0.998829 0.0483719i \(-0.0154033\pi\)
\(110\) −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 −0.324224 0.945980i \(-0.605103\pi\)
0.537447 + 0.843298i \(0.319389\pi\)
\(114\) 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 −0.635520 0.772085i \(-0.719214\pi\)
0.894143 + 0.447781i \(0.147785\pi\)
\(128\) −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 −0.887017 0.461737i \(-0.847226\pi\)
0.647540 + 0.762031i \(0.275798\pi\)
\(132\) −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 0.204652 0.978835i \(-0.434394\pi\)
−0.637686 + 0.770297i \(0.720108\pi\)
\(138\) 2.05980 9.02458i 0.175342 0.768224i
\(139\) −14.9046 + 7.17769i −1.26419 + 0.608803i −0.941281 0.337625i \(-0.890376\pi\)
−0.322913 + 0.946429i \(0.604662\pi\)
\(140\) 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 0.823985 + 0.566611i \(0.191746\pi\)
−0.988228 + 0.152985i \(0.951111\pi\)
\(150\) 1.62349 + 2.03579i 0.132557 + 0.166222i
\(151\) −1.80194 2.25956i −0.146640 0.183880i 0.703087 0.711104i \(-0.251804\pi\)
−0.849727 + 0.527224i \(0.823233\pi\)
\(152\) 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 −0.582005 0.813185i \(-0.697732\pi\)
0.171541 0.985177i \(-0.445125\pi\)
\(158\) 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 −0.739364 0.673306i \(-0.764874\pi\)
0.958280 0.285830i \(-0.0922691\pi\)
\(164\) 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 0.996494 0.0836609i \(-0.0266613\pi\)
0.555895 + 0.831252i \(0.312376\pi\)
\(168\) 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 −0.738134 0.674654i \(-0.764293\pi\)
0.957757 0.287578i \(-0.0928502\pi\)
\(182\) 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 0.788164 + 0.615465i \(0.211032\pi\)
−0.443071 + 0.896487i \(0.646111\pi\)
\(192\) 2.57553 11.2841i 0.185873 0.814363i
\(193\) −5.45257 6.83731i −0.392485 0.492161i 0.545853 0.837881i \(-0.316206\pi\)
−0.938337 + 0.345721i \(0.887634\pi\)
\(194\) 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 0.998846 + 0.0480329i \(0.0152952\pi\)
−0.175435 + 0.984491i \(0.556133\pi\)
\(198\) 1.82640 0.879546i 0.129796 0.0625066i
\(199\) 3.08211 1.48426i 0.218485 0.105217i −0.321440 0.946930i \(-0.604167\pi\)
0.539925 + 0.841713i \(0.318453\pi\)
\(200\) −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 −0.996205 0.0870334i \(-0.972261\pi\)
0.859788 0.510652i \(-0.170596\pi\)
\(212\) −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 0.575546 0.817769i \(-0.304790\pi\)
−0.280511 + 0.959851i \(0.590504\pi\)
\(224\) 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 −0.860309 0.509773i \(-0.829729\pi\)
0.688429 + 0.725304i \(0.258301\pi\)
\(228\) −3.77532 1.81810i −0.250027 0.120407i
\(229\) −12.1881 + 15.2834i −0.805415 + 1.00996i 0.194165 + 0.980969i \(0.437800\pi\)
−0.999580 + 0.0289892i \(0.990771\pi\)
\(230\) 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 0.597713 0.801710i \(-0.296076\pi\)
−0.914613 + 0.404329i \(0.867505\pi\)
\(234\) −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 −0.953444 0.301570i \(-0.902489\pi\)
0.728177 0.685389i \(-0.240368\pi\)
\(240\) 2.24698 + 2.81762i 0.145042 + 0.181877i
\(241\) 8.63975 4.16069i 0.556535 0.268013i −0.134403 0.990927i \(-0.542912\pi\)
0.690939 + 0.722913i \(0.257197\pi\)
\(242\) 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 0.962291 + 0.272023i \(0.0876926\pi\)
0.812654 + 0.582746i \(0.198022\pi\)
\(264\) −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 −0.968810 0.247805i \(-0.920291\pi\)
0.980386 + 0.197086i \(0.0631478\pi\)
\(270\) 14.7506 18.4967i 0.897695 1.12567i
\(271\) −2.05280 0.988577i −0.124699 0.0600518i 0.370494 0.928835i \(-0.379188\pi\)
−0.495193 + 0.868783i \(0.664903\pi\)
\(272\) −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 0.946345 0.323157i \(-0.104744\pi\)
−0.992840 + 0.119449i \(0.961887\pi\)
\(278\) −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 −0.700451 0.713701i \(-0.747018\pi\)
0.940747 0.339108i \(-0.110125\pi\)
\(282\) −0.579417 2.53859i −0.0345038 0.151171i
\(283\) −14.8802 18.6591i −0.884534 1.10917i −0.993353 0.115108i \(-0.963278\pi\)
0.108819 0.994062i \(-0.465293\pi\)
\(284\) −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 −0.465414 0.885093i \(-0.654095\pi\)
−0.982175 + 0.187971i \(0.939809\pi\)
\(294\) 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 −0.282130 0.959376i \(-0.591041\pi\)
0.574165 + 0.818739i \(0.305327\pi\)
\(312\) −9.82036 + 43.0258i −0.555968 + 2.43586i
\(313\) −15.1746 + 19.0283i −0.857717 + 1.07554i 0.138647 + 0.990342i \(0.455725\pi\)
−0.996364 + 0.0852012i \(0.972847\pi\)
\(314\) −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 −0.776103 0.630606i \(-0.782806\pi\)
0.00913503 + 0.999958i \(0.497092\pi\)
\(318\) 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 −0.239714 0.970843i \(-0.577054\pi\)
−0.908495 + 0.417895i \(0.862768\pi\)
\(332\) 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 −0.996393 0.0848561i \(-0.972957\pi\)
0.138990 0.990294i \(-0.455614\pi\)
\(348\) −4.75571 20.8361i −0.254933 1.11693i
\(349\) 8.72132 + 4.19997i 0.466842 + 0.224819i 0.652490 0.757797i \(-0.273724\pi\)
−0.185649 + 0.982616i \(0.559439\pi\)
\(350\) 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 −0.972408 0.233288i \(-0.925052\pi\)
0.977329 + 0.211727i \(0.0679088\pi\)
\(354\) −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 0.999396 0.0347408i \(-0.0110606\pi\)
−0.915498 + 0.402321i \(0.868203\pi\)
\(360\) −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 −0.999903 0.0139379i \(-0.995563\pi\)
0.906929 + 0.421284i \(0.138420\pi\)
\(368\) −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 −0.354536 0.935042i \(-0.615361\pi\)
0.990491 + 0.137581i \(0.0439326\pi\)
\(374\) −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 0.712096 0.702082i \(-0.247746\pi\)
−0.104925 + 0.994480i \(0.533460\pi\)
\(380\) 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 0.997577 0.0695683i \(-0.0221622\pi\)
−0.928971 + 0.370154i \(0.879305\pi\)
\(384\) 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 −0.794412 0.607380i \(-0.792221\pi\)
0.768924 + 0.639340i \(0.220792\pi\)
\(390\) 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 −0.631952 0.775008i \(-0.717746\pi\)
0.211910 + 0.977289i \(0.432032\pi\)
\(398\) 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 0.145208 + 0.989401i \(0.453615\pi\)
−0.996907 + 0.0785953i \(0.974957\pi\)
\(402\) −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 0.721863 0.692036i \(-0.243286\pi\)
−0.835314 + 0.549772i \(0.814714\pi\)
\(410\) 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 −0.629113 0.777314i \(-0.716582\pi\)
0.904075 0.427374i \(-0.140561\pi\)
\(420\) −9.51142 + 4.58046i −0.464110 + 0.223503i
\(421\) −3.82813 + 16.7721i −0.186571 + 0.817423i 0.791835 + 0.610735i \(0.209126\pi\)
−0.978407 + 0.206688i \(0.933731\pi\)
\(422\) −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 0.991420 0.130714i \(-0.0417271\pi\)
−0.348049 + 0.937476i \(0.613156\pi\)
\(434\) −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 −0.855359 0.518036i \(-0.826663\pi\)
0.995419 0.0956075i \(-0.0304794\pi\)
\(440\) 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 0.925803 0.378006i \(-0.123390\pi\)
0.281692 + 0.959505i \(0.409104\pi\)
\(444\) 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 −0.927191 0.374589i \(-0.877784\pi\)
0.672843 0.739786i \(-0.265073\pi\)
\(450\) 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 −0.856913 0.515462i \(-0.827620\pi\)
−0.131272 + 0.991346i \(0.541906\pi\)
\(458\) 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 −0.962214 0.272295i \(-0.912217\pi\)
0.479581 + 0.877498i \(0.340789\pi\)
\(462\) 0.232637 1.01925i 0.0108232 0.0474197i
\(463\) 5.18114 2.49510i 0.240788 0.115957i −0.309599 0.950867i \(-0.600195\pi\)
0.550386 + 0.834910i \(0.314480\pi\)
\(464\) −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 −0.903025 0.429587i \(-0.858659\pi\)
0.619758 + 0.784793i \(0.287231\pi\)
\(488\) 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 0.392351 0.919816i \(-0.371662\pi\)
−0.984060 + 0.177835i \(0.943091\pi\)
\(492\) −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 −0.936369 0.351019i \(-0.885835\pi\)
−0.309379 + 0.950939i \(0.600121\pi\)
\(500\) 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 0.935596 0.353072i \(-0.114863\pi\)
0.307292 + 0.951615i \(0.400577\pi\)
\(504\) 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 0.727352 0.686264i \(-0.240751\pi\)
−0.0830464 + 0.996546i \(0.526465\pi\)
\(522\) 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 0.700237 0.713911i \(-0.253078\pi\)
−0.851829 + 0.523820i \(0.824506\pi\)
\(542\) −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 −0.464625 0.885508i \(-0.653811\pi\)
0.966695 + 0.255932i \(0.0823822\pi\)
\(548\) 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 0.0387688 0.999248i \(-0.487656\pi\)
0.965568 0.260150i \(-0.0837722\pi\)
\(558\) −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 0.603522 + 0.797346i \(0.293763\pi\)
−0.197799 + 0.980243i \(0.563379\pi\)
\(564\) 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 0.378785 0.925485i \(-0.376342\pi\)
0.959742 + 0.280884i \(0.0906277\pi\)
\(570\) −1.10215 + 4.82882i −0.0461638 + 0.202257i
\(571\) 26.8391 33.6551i 1.12318 1.40842i 0.221963 0.975055i \(-0.428754\pi\)
0.901217 0.433368i \(-0.142675\pi\)
\(572\) −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 0.536006 0.844214i \(-0.319933\pi\)
−0.942321 + 0.334712i \(0.891361\pi\)
\(578\) 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 0.981791 + 0.189964i \(0.0608373\pi\)
−0.802141 + 0.597135i \(0.796306\pi\)
\(588\) −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 −0.356124 0.934439i \(-0.615902\pi\)
0.726294 0.687384i \(-0.241241\pi\)
\(594\) −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 −0.987610 0.156931i \(-0.949840\pi\)
0.0667673 0.997769i \(-0.478731\pi\)
\(600\) −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 0.523824 0.851826i \(-0.324505\pi\)
−0.339386 + 0.940647i \(0.610219\pi\)
\(608\) 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 0.691549 + 0.722329i \(0.256928\pi\)
−0.936471 + 0.350744i \(0.885929\pi\)
\(614\) −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 0.963625 + 0.267258i \(0.0861174\pi\)
−0.752238 + 0.658892i \(0.771025\pi\)
\(618\) 35.3913 17.0436i 1.42365 0.685593i
\(619\) 37.9686 18.2847i 1.52609 0.734925i 0.532335 0.846534i \(-0.321315\pi\)
0.993752 + 0.111609i \(0.0356005\pi\)
\(620\) −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 −0.981687 0.190503i \(-0.938988\pi\)
0.404172 + 0.914683i \(0.367560\pi\)
\(632\) 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 0.900979 0.433862i \(-0.142849\pi\)
−1.00000 2.43722e-5i \(0.999992\pi\)
\(642\) −5.96562 7.48065i −0.235444 0.295238i
\(643\) −5.65817 + 7.09512i −0.223136 + 0.279804i −0.880781 0.473524i \(-0.842982\pi\)
0.657644 + 0.753329i \(0.271553\pi\)
\(644\) 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 −0.854129 0.520061i \(-0.825909\pi\)
0.697084 + 0.716989i \(0.254480\pi\)
\(648\) −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 0.864612 0.502440i \(-0.167564\pi\)
0.146254 + 0.989247i \(0.453278\pi\)
\(654\) −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 −0.655415 0.755269i \(-0.727506\pi\)
0.882176 + 0.470919i \(0.156078\pi\)
\(660\) −0.657105 2.87896i −0.0255778 0.112064i
\(661\) −6.33901 + 3.05271i −0.246559 + 0.118737i −0.553082 0.833127i \(-0.686549\pi\)
0.306523 + 0.951863i \(0.400834\pi\)
\(662\) −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 0.976571 0.215197i \(-0.0690395\pi\)
−0.973230 + 0.229832i \(0.926182\pi\)
\(674\) 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 −0.988100 0.153813i \(-0.950845\pi\)
0.956984 + 0.290139i \(0.0937017\pi\)
\(678\) −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 −0.115084 0.993356i \(-0.536714\pi\)
−0.848391 + 0.529371i \(0.822428\pi\)
\(684\) 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 0.987732 0.156158i \(-0.0499109\pi\)
−0.372034 + 0.928219i \(0.621339\pi\)
\(692\) 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 0.983001 0.183603i \(-0.0587760\pi\)
0.469344 + 0.883015i \(0.344490\pi\)
\(702\) −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 0.337814 0.941213i \(-0.390313\pi\)
−0.992785 + 0.119905i \(0.961741\pi\)
\(710\) 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 −0.105489 0.994420i \(-0.533641\pi\)
0.992962 0.118435i \(-0.0377879\pi\)
\(720\) 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 0.946994 + 0.321250i \(0.104103\pi\)
−0.713827 + 0.700322i \(0.753040\pi\)
\(728\) 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 −0.873220 0.487326i \(-0.837972\pi\)
0.669417 + 0.742887i \(0.266544\pi\)
\(734\) 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 −0.312279 0.949991i \(-0.601092\pi\)
−0.937435 + 0.348160i \(0.886807\pi\)
\(740\) −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 −0.714349 0.699790i \(-0.753277\pi\)
0.841202 + 0.540720i \(0.181848\pi\)
\(744\) 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 −0.608331 0.793684i \(-0.708161\pi\)
0.892453 0.451140i \(-0.148982\pi\)
\(752\) −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 −0.977850 0.209305i \(-0.932880\pi\)
−0.446038 + 0.895014i \(0.647165\pi\)
\(758\) 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 −0.0455308 0.998963i \(-0.514498\pi\)
−0.809409 + 0.587246i \(0.800212\pi\)
\(762\) −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 0.912192 0.409762i \(-0.134388\pi\)
0.248378 + 0.968663i \(0.420103\pi\)
\(770\) 0.143294 + 0.627813i 0.00516396 + 0.0226248i
\(771\) 36.0785 + 45.2410i 1.29934 + 1.62932i