Properties

Label 300.2.r.a.179.26
Level $300$
Weight $2$
Character 300.179
Analytic conductor $2.396$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.r (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(56\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 179.26
Character \(\chi\) \(=\) 300.179
Dual form 300.2.r.a.119.26

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.214717 + 1.39782i) q^{2} +(1.29122 - 1.15445i) q^{3} +(-1.90779 - 0.600272i) q^{4} +(-1.52172 - 1.63840i) q^{5} +(1.33646 + 2.05277i) q^{6} -4.80140 q^{7} +(1.24871 - 2.53786i) q^{8} +(0.334495 - 2.98129i) q^{9} +O(q^{10})\) \(q+(-0.214717 + 1.39782i) q^{2} +(1.29122 - 1.15445i) q^{3} +(-1.90779 - 0.600272i) q^{4} +(-1.52172 - 1.63840i) q^{5} +(1.33646 + 2.05277i) q^{6} -4.80140 q^{7} +(1.24871 - 2.53786i) q^{8} +(0.334495 - 2.98129i) q^{9} +(2.61693 - 1.77530i) q^{10} +(0.174380 - 0.536687i) q^{11} +(-3.15636 + 1.42737i) q^{12} +(-2.55432 + 0.829949i) q^{13} +(1.03094 - 6.71148i) q^{14} +(-3.85633 - 0.358786i) q^{15} +(3.27935 + 2.29039i) q^{16} +(4.80378 - 3.49015i) q^{17} +(4.09549 + 1.10770i) q^{18} +(-1.75617 - 2.41717i) q^{19} +(1.91964 + 4.03918i) q^{20} +(-6.19966 + 5.54297i) q^{21} +(0.712748 + 0.358988i) q^{22} +(-4.81746 - 1.56529i) q^{23} +(-1.31747 - 4.71850i) q^{24} +(-0.368725 + 4.98639i) q^{25} +(-0.611661 - 3.74868i) q^{26} +(-3.00985 - 4.23566i) q^{27} +(9.16007 + 2.88214i) q^{28} +(0.757556 - 1.04269i) q^{29} +(1.32954 - 5.31341i) q^{30} +(2.45339 + 3.37680i) q^{31} +(-3.90568 + 4.09214i) q^{32} +(-0.394415 - 0.894293i) q^{33} +(3.84714 + 7.46421i) q^{34} +(7.30639 + 7.86662i) q^{35} +(-2.42773 + 5.48690i) q^{36} +(6.24786 - 2.03005i) q^{37} +(3.75584 - 1.93580i) q^{38} +(-2.34005 + 4.02048i) q^{39} +(-6.05822 + 1.81603i) q^{40} +(3.94094 - 1.28049i) q^{41} +(-6.41689 - 9.85616i) q^{42} -3.53799 q^{43} +(-0.654839 + 0.919212i) q^{44} +(-5.39357 + 3.98866i) q^{45} +(3.22238 - 6.39784i) q^{46} +(1.34026 - 1.84472i) q^{47} +(6.87849 - 0.828443i) q^{48} +16.0534 q^{49} +(-6.89089 - 1.58607i) q^{50} +(2.17353 - 10.0523i) q^{51} +(5.37131 - 0.0500834i) q^{52} +(0.695627 + 0.505402i) q^{53} +(6.56695 - 3.29775i) q^{54} +(-1.14467 + 0.530983i) q^{55} +(-5.99554 + 12.1853i) q^{56} +(-5.05810 - 1.09368i) q^{57} +(1.29483 + 1.28281i) q^{58} +(-0.743185 - 2.28729i) q^{59} +(7.14171 + 2.99934i) q^{60} +(1.58946 - 4.89184i) q^{61} +(-5.24694 + 2.70433i) q^{62} +(-1.60604 + 14.3144i) q^{63} +(-4.88146 - 6.33809i) q^{64} +(5.24675 + 2.92205i) q^{65} +(1.33475 - 0.359300i) q^{66} +(-8.92161 + 6.48193i) q^{67} +(-11.2597 + 3.77491i) q^{68} +(-8.02744 + 3.54038i) q^{69} +(-12.5649 + 8.52391i) q^{70} +(9.02225 + 6.55505i) q^{71} +(-7.14842 - 4.57167i) q^{72} +(-9.94608 - 3.23168i) q^{73} +(1.49612 + 9.16926i) q^{74} +(5.28042 + 6.86419i) q^{75} +(1.89946 + 5.66563i) q^{76} +(-0.837268 + 2.57685i) q^{77} +(-5.11745 - 4.13424i) q^{78} +(5.74135 - 7.90229i) q^{79} +(-1.23767 - 8.85823i) q^{80} +(-8.77623 - 1.99445i) q^{81} +(0.943702 + 5.78366i) q^{82} +(-5.98760 - 8.24122i) q^{83} +(15.1549 - 6.85335i) q^{84} +(-13.0283 - 2.55949i) q^{85} +(0.759668 - 4.94547i) q^{86} +(-0.225557 - 2.22090i) q^{87} +(-1.14429 - 1.11272i) q^{88} +(-9.68898 - 3.14814i) q^{89} +(-4.41733 - 8.39566i) q^{90} +(12.2643 - 3.98491i) q^{91} +(8.25112 + 5.87803i) q^{92} +(7.06621 + 1.52788i) q^{93} +(2.29080 + 2.26954i) q^{94} +(-1.28788 + 6.55557i) q^{95} +(-0.318919 + 9.79277i) q^{96} +(-7.08244 + 9.74815i) q^{97} +(-3.44695 + 22.4397i) q^{98} +(-1.54169 - 0.699397i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224q - 6q^{4} - 7q^{6} - 6q^{9} + O(q^{10}) \) \( 224q - 6q^{4} - 7q^{6} - 6q^{9} - 5q^{12} - 20q^{13} + 6q^{16} - 24q^{21} - 10q^{22} - 28q^{24} - 20q^{25} - 50q^{28} - 25q^{30} - 10q^{33} - 14q^{34} - 25q^{36} - 60q^{37} - 20q^{40} - 85q^{42} - 30q^{45} + 6q^{46} - 70q^{48} + 88q^{49} + 40q^{52} - 46q^{54} + 50q^{58} + 10q^{60} - 28q^{61} + 18q^{64} + 64q^{66} - 42q^{69} - 40q^{70} - 5q^{72} - 20q^{73} - 80q^{76} - 85q^{78} + 18q^{81} - 48q^{84} - 20q^{85} + 50q^{88} - 60q^{90} + 60q^{94} + 44q^{96} - 120q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{1}{10}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.214717 + 1.39782i −0.151828 + 0.988407i
\(3\) 1.29122 1.15445i 0.745486 0.666521i
\(4\) −1.90779 0.600272i −0.953896 0.300136i
\(5\) −1.52172 1.63840i −0.680535 0.732716i
\(6\) 1.33646 + 2.05277i 0.545609 + 0.838040i
\(7\) −4.80140 −1.81476 −0.907379 0.420314i \(-0.861920\pi\)
−0.907379 + 0.420314i \(0.861920\pi\)
\(8\) 1.24871 2.53786i 0.441485 0.897269i
\(9\) 0.334495 2.98129i 0.111498 0.993765i
\(10\) 2.61693 1.77530i 0.827546 0.561398i
\(11\) 0.174380 0.536687i 0.0525776 0.161817i −0.921320 0.388805i \(-0.872888\pi\)
0.973898 + 0.226988i \(0.0728879\pi\)
\(12\) −3.15636 + 1.42737i −0.911163 + 0.412045i
\(13\) −2.55432 + 0.829949i −0.708441 + 0.230186i −0.641004 0.767537i \(-0.721482\pi\)
−0.0674364 + 0.997724i \(0.521482\pi\)
\(14\) 1.03094 6.71148i 0.275531 1.79372i
\(15\) −3.85633 0.358786i −0.995700 0.0926383i
\(16\) 3.27935 + 2.29039i 0.819837 + 0.572597i
\(17\) 4.80378 3.49015i 1.16509 0.846486i 0.174676 0.984626i \(-0.444112\pi\)
0.990413 + 0.138140i \(0.0441123\pi\)
\(18\) 4.09549 + 1.10770i 0.965315 + 0.261087i
\(19\) −1.75617 2.41717i −0.402894 0.554536i 0.558573 0.829455i \(-0.311349\pi\)
−0.961467 + 0.274919i \(0.911349\pi\)
\(20\) 1.91964 + 4.03918i 0.429245 + 0.903188i
\(21\) −6.19966 + 5.54297i −1.35288 + 1.20957i
\(22\) 0.712748 + 0.358988i 0.151958 + 0.0765365i
\(23\) −4.81746 1.56529i −1.00451 0.326385i −0.239844 0.970812i \(-0.577096\pi\)
−0.764666 + 0.644426i \(0.777096\pi\)
\(24\) −1.31747 4.71850i −0.268928 0.963160i
\(25\) −0.368725 + 4.98639i −0.0737450 + 0.997277i
\(26\) −0.611661 3.74868i −0.119957 0.735177i
\(27\) −3.00985 4.23566i −0.579245 0.815153i
\(28\) 9.16007 + 2.88214i 1.73109 + 0.544674i
\(29\) 0.757556 1.04269i 0.140675 0.193622i −0.732866 0.680373i \(-0.761818\pi\)
0.873541 + 0.486751i \(0.161818\pi\)
\(30\) 1.32954 5.31341i 0.242740 0.970091i
\(31\) 2.45339 + 3.37680i 0.440642 + 0.606491i 0.970355 0.241686i \(-0.0777004\pi\)
−0.529713 + 0.848177i \(0.677700\pi\)
\(32\) −3.90568 + 4.09214i −0.690434 + 0.723396i
\(33\) −0.394415 0.894293i −0.0686588 0.155677i
\(34\) 3.84714 + 7.46421i 0.659780 + 1.28010i
\(35\) 7.30639 + 7.86662i 1.23501 + 1.32970i
\(36\) −2.42773 + 5.48690i −0.404622 + 0.914484i
\(37\) 6.24786 2.03005i 1.02714 0.333739i 0.253482 0.967340i \(-0.418424\pi\)
0.773660 + 0.633601i \(0.218424\pi\)
\(38\) 3.75584 1.93580i 0.609278 0.314029i
\(39\) −2.34005 + 4.02048i −0.374708 + 0.643792i
\(40\) −6.05822 + 1.81603i −0.957889 + 0.287139i
\(41\) 3.94094 1.28049i 0.615471 0.199979i 0.0153426 0.999882i \(-0.495116\pi\)
0.600128 + 0.799904i \(0.295116\pi\)
\(42\) −6.41689 9.85616i −0.990147 1.52084i
\(43\) −3.53799 −0.539538 −0.269769 0.962925i \(-0.586947\pi\)
−0.269769 + 0.962925i \(0.586947\pi\)
\(44\) −0.654839 + 0.919212i −0.0987207 + 0.138576i
\(45\) −5.39357 + 3.98866i −0.804025 + 0.594595i
\(46\) 3.22238 6.39784i 0.475114 0.943310i
\(47\) 1.34026 1.84472i 0.195498 0.269079i −0.700003 0.714140i \(-0.746818\pi\)
0.895500 + 0.445061i \(0.146818\pi\)
\(48\) 6.87849 0.828443i 0.992825 0.119576i
\(49\) 16.0534 2.29334
\(50\) −6.89089 1.58607i −0.974519 0.224305i
\(51\) 2.17353 10.0523i 0.304356 1.40760i
\(52\) 5.37131 0.0500834i 0.744866 0.00694532i
\(53\) 0.695627 + 0.505402i 0.0955517 + 0.0694224i 0.634535 0.772894i \(-0.281192\pi\)
−0.538984 + 0.842316i \(0.681192\pi\)
\(54\) 6.56695 3.29775i 0.893649 0.448767i
\(55\) −1.14467 + 0.530983i −0.154347 + 0.0715978i
\(56\) −5.99554 + 12.1853i −0.801188 + 1.62832i
\(57\) −5.05810 1.09368i −0.669962 0.144861i
\(58\) 1.29483 + 1.28281i 0.170019 + 0.168441i
\(59\) −0.743185 2.28729i −0.0967544 0.297779i 0.890953 0.454096i \(-0.150038\pi\)
−0.987707 + 0.156317i \(0.950038\pi\)
\(60\) 7.14171 + 2.99934i 0.921990 + 0.387213i
\(61\) 1.58946 4.89184i 0.203509 0.626337i −0.796262 0.604952i \(-0.793192\pi\)
0.999771 0.0213849i \(-0.00680755\pi\)
\(62\) −5.24694 + 2.70433i −0.666362 + 0.343451i
\(63\) −1.60604 + 14.3144i −0.202342 + 1.80344i
\(64\) −4.88146 6.33809i −0.610182 0.792261i
\(65\) 5.24675 + 2.92205i 0.650780 + 0.362436i
\(66\) 1.33475 0.359300i 0.164296 0.0442267i
\(67\) −8.92161 + 6.48193i −1.08995 + 0.791893i −0.979390 0.201976i \(-0.935264\pi\)
−0.110557 + 0.993870i \(0.535264\pi\)
\(68\) −11.2597 + 3.77491i −1.36543 + 0.457775i
\(69\) −8.02744 + 3.54038i −0.966391 + 0.426212i
\(70\) −12.5649 + 8.52391i −1.50179 + 1.01880i
\(71\) 9.02225 + 6.55505i 1.07074 + 0.777941i 0.976046 0.217565i \(-0.0698113\pi\)
0.0946986 + 0.995506i \(0.469811\pi\)
\(72\) −7.14842 4.57167i −0.842449 0.538776i
\(73\) −9.94608 3.23168i −1.16410 0.378239i −0.337663 0.941267i \(-0.609636\pi\)
−0.826438 + 0.563028i \(0.809636\pi\)
\(74\) 1.49612 + 9.16926i 0.173921 + 1.06591i
\(75\) 5.28042 + 6.86419i 0.609731 + 0.792609i
\(76\) 1.89946 + 5.66563i 0.217883 + 0.649893i
\(77\) −0.837268 + 2.57685i −0.0954156 + 0.293659i
\(78\) −5.11745 4.13424i −0.579437 0.468110i
\(79\) 5.74135 7.90229i 0.645953 0.889078i −0.352963 0.935637i \(-0.614826\pi\)
0.998916 + 0.0465598i \(0.0148258\pi\)
\(80\) −1.23767 8.85823i −0.138376 0.990380i
\(81\) −8.77623 1.99445i −0.975136 0.221606i
\(82\) 0.943702 + 5.78366i 0.104214 + 0.638698i
\(83\) −5.98760 8.24122i −0.657225 0.904592i 0.342161 0.939641i \(-0.388841\pi\)
−0.999386 + 0.0350494i \(0.988841\pi\)
\(84\) 15.1549 6.85335i 1.65354 0.747762i
\(85\) −13.0283 2.55949i −1.41312 0.277615i
\(86\) 0.759668 4.94547i 0.0819171 0.533283i
\(87\) −0.225557 2.22090i −0.0241823 0.238105i
\(88\) −1.14429 1.11272i −0.121981 0.118616i
\(89\) −9.68898 3.14814i −1.02703 0.333702i −0.253415 0.967358i \(-0.581554\pi\)
−0.773615 + 0.633655i \(0.781554\pi\)
\(90\) −4.41733 8.39566i −0.465628 0.884981i
\(91\) 12.2643 3.98491i 1.28565 0.417732i
\(92\) 8.25112 + 5.87803i 0.860239 + 0.612827i
\(93\) 7.06621 + 1.52788i 0.732731 + 0.158433i
\(94\) 2.29080 + 2.26954i 0.236278 + 0.234085i
\(95\) −1.28788 + 6.55557i −0.132134 + 0.672588i
\(96\) −0.318919 + 9.79277i −0.0325496 + 0.999470i
\(97\) −7.08244 + 9.74815i −0.719113 + 0.989774i 0.280440 + 0.959872i \(0.409520\pi\)
−0.999553 + 0.0299028i \(0.990480\pi\)
\(98\) −3.44695 + 22.4397i −0.348194 + 2.26676i
\(99\) −1.54169 0.699397i −0.154946 0.0702921i
\(100\) 3.69664 9.29166i 0.369664 0.929166i
\(101\) 11.6113i 1.15537i −0.816260 0.577684i \(-0.803956\pi\)
0.816260 0.577684i \(-0.196044\pi\)
\(102\) 13.5846 + 5.19661i 1.34507 + 0.514541i
\(103\) 4.63581 + 3.36811i 0.456780 + 0.331870i 0.792267 0.610175i \(-0.208901\pi\)
−0.335487 + 0.942045i \(0.608901\pi\)
\(104\) −1.08331 + 7.51887i −0.106227 + 0.737286i
\(105\) 18.5158 + 1.72268i 1.80695 + 0.168116i
\(106\) −0.855824 + 0.863841i −0.0831250 + 0.0839037i
\(107\) 6.49390i 0.627789i −0.949458 0.313894i \(-0.898366\pi\)
0.949458 0.313894i \(-0.101634\pi\)
\(108\) 3.19961 + 9.88749i 0.307883 + 0.951424i
\(109\) −2.34693 7.22309i −0.224795 0.691847i −0.998312 0.0580722i \(-0.981505\pi\)
0.773518 0.633775i \(-0.218495\pi\)
\(110\) −0.496438 1.71405i −0.0473335 0.163428i
\(111\) 5.72377 9.83408i 0.543276 0.933410i
\(112\) −15.7454 10.9971i −1.48780 1.03913i
\(113\) 0.719988 + 2.21590i 0.0677308 + 0.208454i 0.979194 0.202929i \(-0.0650460\pi\)
−0.911463 + 0.411383i \(0.865046\pi\)
\(114\) 2.61483 6.83547i 0.244901 0.640201i
\(115\) 4.76626 + 10.2749i 0.444456 + 0.958137i
\(116\) −2.07116 + 1.53449i −0.192302 + 0.142474i
\(117\) 1.61992 + 7.89279i 0.149761 + 0.729689i
\(118\) 3.35679 0.547717i 0.309017 0.0504214i
\(119\) −23.0649 + 16.7576i −2.11435 + 1.53617i
\(120\) −5.72598 + 9.33880i −0.522708 + 0.852512i
\(121\) 8.64156 + 6.27846i 0.785597 + 0.570769i
\(122\) 6.49663 + 3.27214i 0.588177 + 0.296245i
\(123\) 3.61036 6.20300i 0.325535 0.559306i
\(124\) −2.65356 7.91493i −0.238297 0.710782i
\(125\) 8.73080 6.98377i 0.780907 0.624648i
\(126\) −19.6640 5.31850i −1.75181 0.473810i
\(127\) 3.44560 10.6045i 0.305748 0.940995i −0.673649 0.739051i \(-0.735274\pi\)
0.979397 0.201944i \(-0.0647258\pi\)
\(128\) 9.90763 5.46249i 0.875719 0.482821i
\(129\) −4.56832 + 4.08443i −0.402218 + 0.359614i
\(130\) −5.21107 + 6.70659i −0.457041 + 0.588207i
\(131\) 15.1692 11.0210i 1.32534 0.962913i 0.325488 0.945546i \(-0.394472\pi\)
0.999849 0.0173671i \(-0.00552841\pi\)
\(132\) 0.215642 + 1.94288i 0.0187692 + 0.169106i
\(133\) 8.43209 + 11.6058i 0.731155 + 1.00635i
\(134\) −7.14493 13.8626i −0.617228 1.19754i
\(135\) −2.35957 + 11.3768i −0.203079 + 0.979162i
\(136\) −2.85899 16.5495i −0.245157 1.41911i
\(137\) 0.342356 + 1.05366i 0.0292495 + 0.0900207i 0.964616 0.263660i \(-0.0849298\pi\)
−0.935366 + 0.353681i \(0.884930\pi\)
\(138\) −3.22518 11.9811i −0.274546 1.01990i
\(139\) 12.3412 + 4.00990i 1.04677 + 0.340116i 0.781399 0.624031i \(-0.214506\pi\)
0.265369 + 0.964147i \(0.414506\pi\)
\(140\) −9.21697 19.3937i −0.778976 1.63907i
\(141\) −0.399055 3.92920i −0.0336065 0.330898i
\(142\) −11.1000 + 11.2040i −0.931492 + 0.940218i
\(143\) 1.51560i 0.126741i
\(144\) 7.92525 9.01057i 0.660437 0.750881i
\(145\) −2.86113 + 0.345497i −0.237604 + 0.0286920i
\(146\) 6.65290 13.2089i 0.550598 1.09318i
\(147\) 20.7285 18.5328i 1.70966 1.52856i
\(148\) −13.1382 + 0.122504i −1.07995 + 0.0100698i
\(149\) 2.32350i 0.190349i −0.995461 0.0951743i \(-0.969659\pi\)
0.995461 0.0951743i \(-0.0303408\pi\)
\(150\) −10.7287 + 5.90721i −0.875994 + 0.482322i
\(151\) 4.05386i 0.329899i 0.986302 + 0.164949i \(0.0527461\pi\)
−0.986302 + 0.164949i \(0.947254\pi\)
\(152\) −8.32737 + 1.43859i −0.675439 + 0.116685i
\(153\) −8.79833 15.4889i −0.711303 1.25221i
\(154\) −3.42219 1.72364i −0.275768 0.138895i
\(155\) 1.79918 9.15819i 0.144514 0.735603i
\(156\) 6.87772 6.26557i 0.550658 0.501647i
\(157\) 17.1676i 1.37013i −0.728484 0.685063i \(-0.759775\pi\)
0.728484 0.685063i \(-0.240225\pi\)
\(158\) 9.81320 + 9.72213i 0.780697 + 0.773451i
\(159\) 1.48167 0.150480i 0.117504 0.0119339i
\(160\) 12.6479 + 0.171973i 0.999908 + 0.0135957i
\(161\) 23.1305 + 7.51557i 1.82294 + 0.592310i
\(162\) 4.67229 11.8393i 0.367090 0.930185i
\(163\) 1.62100 + 4.98894i 0.126967 + 0.390764i 0.994254 0.107044i \(-0.0341386\pi\)
−0.867287 + 0.497808i \(0.834139\pi\)
\(164\) −8.28713 + 0.0772712i −0.647116 + 0.00603387i
\(165\) −0.865023 + 2.00708i −0.0673420 + 0.156251i
\(166\) 12.8054 6.60004i 0.993890 0.512263i
\(167\) −13.1884 18.1523i −1.02055 1.40467i −0.911816 0.410600i \(-0.865319\pi\)
−0.108737 0.994071i \(-0.534681\pi\)
\(168\) 6.32571 + 22.6554i 0.488039 + 1.74790i
\(169\) −4.68149 + 3.40130i −0.360114 + 0.261638i
\(170\) 6.37510 17.6616i 0.488948 1.35458i
\(171\) −7.79371 + 4.42714i −0.596000 + 0.338552i
\(172\) 6.74975 + 2.12376i 0.514664 + 0.161935i
\(173\) −0.482812 + 1.48594i −0.0367075 + 0.112974i −0.967731 0.251984i \(-0.918917\pi\)
0.931024 + 0.364959i \(0.118917\pi\)
\(174\) 3.15284 + 0.161577i 0.239016 + 0.0122491i
\(175\) 1.77039 23.9416i 0.133829 1.80982i
\(176\) 1.80107 1.36058i 0.135761 0.102558i
\(177\) −3.60017 2.09542i −0.270605 0.157501i
\(178\) 6.48092 12.8675i 0.485766 0.964458i
\(179\) 10.5784 + 7.68562i 0.790663 + 0.574450i 0.908160 0.418623i \(-0.137487\pi\)
−0.117497 + 0.993073i \(0.537487\pi\)
\(180\) 12.6841 4.37194i 0.945416 0.325865i
\(181\) −4.29785 + 3.12257i −0.319457 + 0.232099i −0.735944 0.677043i \(-0.763261\pi\)
0.416487 + 0.909142i \(0.363261\pi\)
\(182\) 2.93683 + 17.9989i 0.217692 + 1.33417i
\(183\) −3.59505 8.15139i −0.265754 0.602568i
\(184\) −9.98808 + 10.2714i −0.736331 + 0.757221i
\(185\) −12.8336 7.14734i −0.943542 0.525483i
\(186\) −3.65293 + 9.54921i −0.267846 + 0.700182i
\(187\) −1.03543 3.18674i −0.0757185 0.233038i
\(188\) −3.66428 + 2.71481i −0.267245 + 0.197998i
\(189\) 14.4515 + 20.3371i 1.05119 + 1.47931i
\(190\) −8.88697 3.20782i −0.644729 0.232720i
\(191\) −2.74792 8.45723i −0.198833 0.611944i −0.999910 0.0133837i \(-0.995740\pi\)
0.801078 0.598560i \(-0.204260\pi\)
\(192\) −13.6200 2.54847i −0.982941 0.183920i
\(193\) 2.35590i 0.169581i 0.996399 + 0.0847905i \(0.0270221\pi\)
−0.996399 + 0.0847905i \(0.972978\pi\)
\(194\) −12.1054 11.9931i −0.869118 0.861052i
\(195\) 10.1481 2.28410i 0.726719 0.163568i
\(196\) −30.6266 9.63641i −2.18761 0.688315i
\(197\) 14.7996 + 10.7526i 1.05443 + 0.766088i 0.973050 0.230595i \(-0.0740673\pi\)
0.0813799 + 0.996683i \(0.474067\pi\)
\(198\) 1.30866 2.00483i 0.0930023 0.142477i
\(199\) 20.2791i 1.43755i 0.695244 + 0.718774i \(0.255297\pi\)
−0.695244 + 0.718774i \(0.744703\pi\)
\(200\) 12.1943 + 7.16231i 0.862268 + 0.506452i
\(201\) −4.03670 + 18.6691i −0.284727 + 1.31682i
\(202\) 16.2305 + 2.49315i 1.14197 + 0.175418i
\(203\) −3.63733 + 5.00635i −0.255290 + 0.351377i
\(204\) −10.1808 + 17.8729i −0.712795 + 1.25136i
\(205\) −8.09497 4.50829i −0.565377 0.314873i
\(206\) −5.70340 + 5.75683i −0.397375 + 0.401097i
\(207\) −6.27800 + 13.8387i −0.436351 + 0.961855i
\(208\) −10.2774 3.12870i −0.712610 0.216936i
\(209\) −1.60350 + 0.521010i −0.110917 + 0.0360390i
\(210\) −6.38365 + 25.5118i −0.440513 + 1.76048i
\(211\) −22.4313 7.28837i −1.54423 0.501752i −0.591693 0.806163i \(-0.701540\pi\)
−0.952541 + 0.304411i \(0.901540\pi\)
\(212\) −1.02373 1.38177i −0.0703103 0.0949003i
\(213\) 19.2172 1.95172i 1.31674 0.133730i
\(214\) 9.07729 + 1.39435i 0.620511 + 0.0953161i
\(215\) 5.38383 + 5.79665i 0.367174 + 0.395328i
\(216\) −14.5079 + 2.34946i −0.987140 + 0.159861i
\(217\) −11.7797 16.2134i −0.799657 1.10063i
\(218\) 10.6005 1.72965i 0.717956 0.117147i
\(219\) −16.5734 + 7.30944i −1.11993 + 0.493926i
\(220\) 2.50252 0.325894i 0.168720 0.0219718i
\(221\) −9.37375 + 12.9019i −0.630547 + 0.867873i
\(222\) 12.5173 + 10.1123i 0.840104 + 0.678696i
\(223\) 1.04868 3.22751i 0.0702250 0.216130i −0.909785 0.415081i \(-0.863753\pi\)
0.980010 + 0.198950i \(0.0637533\pi\)
\(224\) 18.7527 19.6480i 1.25297 1.31279i
\(225\) 14.7425 + 2.76720i 0.982836 + 0.184480i
\(226\) −3.25201 + 0.530621i −0.216321 + 0.0352964i
\(227\) 25.9334 + 8.42626i 1.72126 + 0.559271i 0.992142 0.125119i \(-0.0399313\pi\)
0.729116 + 0.684390i \(0.239931\pi\)
\(228\) 8.99330 + 5.12275i 0.595596 + 0.339262i
\(229\) 2.60772 + 1.89462i 0.172323 + 0.125200i 0.670604 0.741816i \(-0.266035\pi\)
−0.498281 + 0.867016i \(0.666035\pi\)
\(230\) −15.3858 + 4.45618i −1.01451 + 0.293832i
\(231\) 1.89374 + 4.29386i 0.124599 + 0.282515i
\(232\) −1.70022 3.22458i −0.111625 0.211704i
\(233\) −9.09383 + 6.60706i −0.595757 + 0.432843i −0.844370 0.535760i \(-0.820025\pi\)
0.248613 + 0.968603i \(0.420025\pi\)
\(234\) −11.3805 + 0.569627i −0.743967 + 0.0372377i
\(235\) −5.06190 + 0.611252i −0.330202 + 0.0398737i
\(236\) 0.0448476 + 4.80978i 0.00291933 + 0.313090i
\(237\) −1.70945 16.8317i −0.111041 1.09334i
\(238\) −18.4717 35.8386i −1.19734 2.32307i
\(239\) 1.12930 3.47563i 0.0730485 0.224820i −0.907866 0.419261i \(-0.862289\pi\)
0.980914 + 0.194441i \(0.0622892\pi\)
\(240\) −11.8245 10.0091i −0.763267 0.646083i
\(241\) 5.20702 + 16.0256i 0.335414 + 1.03230i 0.966518 + 0.256600i \(0.0826022\pi\)
−0.631104 + 0.775698i \(0.717398\pi\)
\(242\) −10.6316 + 10.7312i −0.683428 + 0.689830i
\(243\) −13.6345 + 7.55643i −0.874655 + 0.484745i
\(244\) −5.96879 + 8.37852i −0.382113 + 0.536380i
\(245\) −24.4288 26.3019i −1.56070 1.68037i
\(246\) 7.89547 + 6.37852i 0.503396 + 0.406679i
\(247\) 6.49195 + 4.71668i 0.413073 + 0.300115i
\(248\) 11.6334 2.00972i 0.738722 0.127617i
\(249\) −17.2454 3.72885i −1.09288 0.236306i
\(250\) 7.88739 + 13.7036i 0.498842 + 0.866693i
\(251\) 4.74690 0.299621 0.149811 0.988715i \(-0.452134\pi\)
0.149811 + 0.988715i \(0.452134\pi\)
\(252\) 11.6565 26.3448i 0.734291 1.65957i
\(253\) −1.68014 + 2.31251i −0.105629 + 0.145386i
\(254\) 14.0833 + 7.09329i 0.883664 + 0.445073i
\(255\) −19.7772 + 11.7356i −1.23850 + 0.734915i
\(256\) 5.50823 + 15.0220i 0.344264 + 0.938873i
\(257\) 15.4807 0.965659 0.482829 0.875714i \(-0.339609\pi\)
0.482829 + 0.875714i \(0.339609\pi\)
\(258\) −4.72839 7.26268i −0.294377 0.452155i
\(259\) −29.9985 + 9.74709i −1.86401 + 0.605655i
\(260\) −8.25569 8.72415i −0.511996 0.541049i
\(261\) −2.85516 2.60727i −0.176730 0.161386i
\(262\) 12.1483 + 23.5702i 0.750527 + 1.45617i
\(263\) −7.27990 + 2.36538i −0.448898 + 0.145856i −0.524737 0.851264i \(-0.675836\pi\)
0.0758392 + 0.997120i \(0.475836\pi\)
\(264\) −2.76210 0.115742i −0.169995 0.00712346i
\(265\) −0.230498 1.90880i −0.0141594 0.117257i
\(266\) −18.0333 + 9.29456i −1.10569 + 0.569886i
\(267\) −16.1450 + 7.12050i −0.988056 + 0.435767i
\(268\) 20.9115 7.01078i 1.27737 0.428252i
\(269\) −2.63318 3.62427i −0.160548 0.220976i 0.721163 0.692766i \(-0.243608\pi\)
−0.881711 + 0.471790i \(0.843608\pi\)
\(270\) −15.3961 5.74106i −0.936978 0.349389i
\(271\) −0.324464 + 0.446587i −0.0197098 + 0.0271282i −0.818758 0.574139i \(-0.805337\pi\)
0.799048 + 0.601267i \(0.205337\pi\)
\(272\) 23.7471 0.442886i 1.43988 0.0268539i
\(273\) 11.2355 19.3039i 0.680005 1.16833i
\(274\) −1.54634 + 0.252312i −0.0934179 + 0.0152427i
\(275\) 2.61183 + 1.06742i 0.157499 + 0.0643676i
\(276\) 17.4399 1.93567i 1.04976 0.116513i
\(277\) 7.08835 + 2.30315i 0.425898 + 0.138383i 0.514120 0.857718i \(-0.328119\pi\)
−0.0882222 + 0.996101i \(0.528119\pi\)
\(278\) −8.25499 + 16.3898i −0.495101 + 0.982994i
\(279\) 10.8879 6.18475i 0.651840 0.370271i
\(280\) 29.0879 8.71948i 1.73834 0.521088i
\(281\) −7.81585 10.7576i −0.466254 0.641744i 0.509537 0.860449i \(-0.329817\pi\)
−0.975791 + 0.218705i \(0.929817\pi\)
\(282\) 5.57799 + 0.285861i 0.332165 + 0.0170228i
\(283\) 16.5963 12.0579i 0.986545 0.716767i 0.0273836 0.999625i \(-0.491282\pi\)
0.959162 + 0.282858i \(0.0912824\pi\)
\(284\) −13.2778 17.9215i −0.787891 1.06344i
\(285\) 5.90514 + 9.95148i 0.349790 + 0.589475i
\(286\) −2.11853 0.325425i −0.125271 0.0192428i
\(287\) −18.9220 + 6.14813i −1.11693 + 0.362913i
\(288\) 10.8935 + 13.0128i 0.641903 + 0.766786i
\(289\) 5.64188 17.3639i 0.331875 1.02141i
\(290\) 0.131392 4.07352i 0.00771562 0.239206i
\(291\) 2.10875 + 20.7633i 0.123617 + 1.21717i
\(292\) 17.0352 + 12.1357i 0.996909 + 0.710190i
\(293\) 4.95298 0.289356 0.144678 0.989479i \(-0.453785\pi\)
0.144678 + 0.989479i \(0.453785\pi\)
\(294\) 21.4548 + 32.9540i 1.25127 + 1.92191i
\(295\) −2.61658 + 4.69825i −0.152343 + 0.273543i
\(296\) 2.64977 18.3911i 0.154014 1.06896i
\(297\) −2.79808 + 0.876730i −0.162361 + 0.0508730i
\(298\) 3.24783 + 0.498896i 0.188142 + 0.0289003i
\(299\) 13.6044 0.786765
\(300\) −5.95357 16.2651i −0.343730 0.939069i
\(301\) 16.9873 0.979131
\(302\) −5.66656 0.870435i −0.326074 0.0500879i
\(303\) −13.4047 14.9928i −0.770078 0.861311i
\(304\) −0.222851 11.9490i −0.0127814 0.685325i
\(305\) −10.4335 + 4.83986i −0.597422 + 0.277129i
\(306\) 23.5399 8.97273i 1.34568 0.512937i
\(307\) 30.9731 1.76773 0.883863 0.467746i \(-0.154934\pi\)
0.883863 + 0.467746i \(0.154934\pi\)
\(308\) 3.14414 4.41350i 0.179154 0.251483i
\(309\) 9.87416 1.00283i 0.561721 0.0570492i
\(310\) 12.4152 + 4.48135i 0.705134 + 0.254524i
\(311\) −8.11899 + 24.9877i −0.460386 + 1.41692i 0.404308 + 0.914623i \(0.367512\pi\)
−0.864694 + 0.502299i \(0.832488\pi\)
\(312\) 7.28136 + 10.9591i 0.412226 + 0.620439i
\(313\) −14.2337 + 4.62482i −0.804538 + 0.261410i −0.682283 0.731089i \(-0.739013\pi\)
−0.122255 + 0.992499i \(0.539013\pi\)
\(314\) 23.9972 + 3.68619i 1.35424 + 0.208024i
\(315\) 25.8967 19.1512i 1.45911 1.07905i
\(316\) −15.6968 + 11.6296i −0.883016 + 0.654214i
\(317\) −18.6283 + 13.5343i −1.04627 + 0.760159i −0.971500 0.237042i \(-0.923822\pi\)
−0.0747700 + 0.997201i \(0.523822\pi\)
\(318\) −0.107796 + 2.10341i −0.00604489 + 0.117954i
\(319\) −0.427493 0.588394i −0.0239350 0.0329437i
\(320\) −2.95612 + 17.6426i −0.165252 + 0.986251i
\(321\) −7.49688 8.38505i −0.418435 0.468008i
\(322\) −15.4719 + 30.7186i −0.862217 + 1.71188i
\(323\) −16.8726 5.48223i −0.938814 0.305039i
\(324\) 15.5460 + 9.07313i 0.863667 + 0.504063i
\(325\) −3.19660 13.0428i −0.177316 0.723487i
\(326\) −7.32168 + 1.19466i −0.405511 + 0.0661659i
\(327\) −11.3691 6.61719i −0.628712 0.365932i
\(328\) 1.67138 11.6005i 0.0922866 0.640530i
\(329\) −6.43514 + 8.85721i −0.354781 + 0.488314i
\(330\) −2.61979 1.64010i −0.144215 0.0902845i
\(331\) −11.0206 15.1686i −0.605748 0.833740i 0.390471 0.920615i \(-0.372312\pi\)
−0.996219 + 0.0868748i \(0.972312\pi\)
\(332\) 6.47612 + 19.3167i 0.355423 + 1.06014i
\(333\) −3.96231 19.3058i −0.217133 1.05795i
\(334\) 28.2055 14.5374i 1.54333 0.795453i
\(335\) 24.1962 + 4.75349i 1.32198 + 0.259711i
\(336\) −33.0264 + 3.97769i −1.80174 + 0.217001i
\(337\) −19.2265 + 6.24707i −1.04734 + 0.340300i −0.781622 0.623752i \(-0.785607\pi\)
−0.265713 + 0.964052i \(0.585607\pi\)
\(338\) −3.74920 7.27419i −0.203930 0.395664i
\(339\) 3.48780 + 2.03002i 0.189431 + 0.110255i
\(340\) 23.3189 + 12.7035i 1.26465 + 0.688944i
\(341\) 2.24011 0.727855i 0.121309 0.0394155i
\(342\) −4.51489 11.8448i −0.244137 0.640492i
\(343\) −43.4690 −2.34710
\(344\) −4.41791 + 8.97892i −0.238198 + 0.484111i
\(345\) 18.0161 + 7.76470i 0.969955 + 0.418038i
\(346\) −1.97341 0.993942i −0.106091 0.0534346i
\(347\) −7.05470 + 9.70997i −0.378716 + 0.521258i −0.955244 0.295819i \(-0.904407\pi\)
0.576528 + 0.817078i \(0.304407\pi\)
\(348\) −0.902825 + 4.37241i −0.0483965 + 0.234386i
\(349\) −19.3624 −1.03645 −0.518224 0.855245i \(-0.673407\pi\)
−0.518224 + 0.855245i \(0.673407\pi\)
\(350\) 33.0859 + 7.61537i 1.76852 + 0.407059i
\(351\) 11.2035 + 8.32122i 0.597998 + 0.444154i
\(352\) 1.51513 + 2.80972i 0.0807565 + 0.149758i
\(353\) −0.596815 0.433611i −0.0317653 0.0230788i 0.571789 0.820400i \(-0.306249\pi\)
−0.603555 + 0.797322i \(0.706249\pi\)
\(354\) 3.70204 4.58246i 0.196761 0.243555i
\(355\) −2.98955 24.7570i −0.158669 1.31397i
\(356\) 16.5948 + 11.8220i 0.879524 + 0.626566i
\(357\) −10.4360 + 48.2650i −0.552332 + 2.55445i
\(358\) −13.0145 + 13.1364i −0.687836 + 0.694279i
\(359\) −9.96302 30.6630i −0.525828 1.61833i −0.762672 0.646785i \(-0.776113\pi\)
0.236844 0.971548i \(-0.423887\pi\)
\(360\) 3.38768 + 18.6688i 0.178546 + 0.983932i
\(361\) 3.11278 9.58015i 0.163830 0.504218i
\(362\) −3.44197 6.67809i −0.180906 0.350993i
\(363\) 18.4063 1.86937i 0.966081 0.0981166i
\(364\) −25.7898 + 0.240470i −1.35175 + 0.0126041i
\(365\) 9.84038 + 21.2134i 0.515069 + 1.11036i
\(366\) 12.1661 3.27498i 0.635931 0.171186i
\(367\) 12.2965 8.93397i 0.641875 0.466349i −0.218619 0.975810i \(-0.570155\pi\)
0.860494 + 0.509461i \(0.170155\pi\)
\(368\) −12.2130 16.1670i −0.636647 0.842762i
\(369\) −2.49929 12.1774i −0.130108 0.633931i
\(370\) 12.7463 16.4043i 0.662647 0.852820i
\(371\) −3.33998 2.42664i −0.173403 0.125985i
\(372\) −12.5637 7.15652i −0.651398 0.371048i
\(373\) 11.2501 + 3.65537i 0.582507 + 0.189268i 0.585423 0.810728i \(-0.300928\pi\)
−0.00291638 + 0.999996i \(0.500928\pi\)
\(374\) 4.67681 0.763101i 0.241832 0.0394590i
\(375\) 3.21097 19.0968i 0.165814 0.986157i
\(376\) −3.00803 5.70491i −0.155127 0.294208i
\(377\) −1.06966 + 3.29209i −0.0550905 + 0.169551i
\(378\) −31.5305 + 15.8338i −1.62176 + 0.814402i
\(379\) −0.559044 + 0.769459i −0.0287162 + 0.0395244i −0.823134 0.567848i \(-0.807776\pi\)
0.794417 + 0.607372i \(0.207776\pi\)
\(380\) 6.39214 11.7336i 0.327910 0.601921i
\(381\) −7.79329 17.6705i −0.399263 0.905286i
\(382\) 12.4117 2.02518i 0.635038 0.103617i
\(383\) 8.50643 + 11.7081i 0.434658 + 0.598256i 0.969015 0.247004i \(-0.0794459\pi\)
−0.534356 + 0.845259i \(0.679446\pi\)
\(384\) 6.48676 18.4911i 0.331026 0.943622i
\(385\) 5.49600 2.54946i 0.280102 0.129933i
\(386\) −3.29311 0.505852i −0.167615 0.0257472i
\(387\) −1.18344 + 10.5478i −0.0601575 + 0.536174i
\(388\) 19.3634 14.3461i 0.983027 0.728310i
\(389\) −15.0336 4.88472i −0.762234 0.247665i −0.0979971 0.995187i \(-0.531244\pi\)
−0.664237 + 0.747522i \(0.731244\pi\)
\(390\) 1.01379 + 14.6756i 0.0513352 + 0.743128i
\(391\) −28.6051 + 9.29437i −1.44662 + 0.470037i
\(392\) 20.0460 40.7413i 1.01248 2.05775i
\(393\) 6.86349 31.7426i 0.346217 1.60120i
\(394\) −18.2079 + 18.3784i −0.917299 + 0.925892i
\(395\) −21.6839 + 2.61845i −1.09103 + 0.131748i
\(396\) 2.52140 + 2.25974i 0.126705 + 0.113556i
\(397\) 14.7835 20.3477i 0.741960 1.02122i −0.256543 0.966533i \(-0.582584\pi\)
0.998503 0.0546879i \(-0.0174164\pi\)
\(398\) −28.3465 4.35428i −1.42088 0.218260i
\(399\) 24.2859 + 5.25118i 1.21582 + 0.262888i
\(400\) −12.6299 + 15.5076i −0.631497 + 0.775378i
\(401\) 3.96242i 0.197874i −0.995094 0.0989370i \(-0.968456\pi\)
0.995094 0.0989370i \(-0.0315442\pi\)
\(402\) −25.2293 9.65116i −1.25832 0.481356i
\(403\) −9.06931 6.58924i −0.451774 0.328233i
\(404\) −6.96995 + 22.1520i −0.346768 + 1.10210i
\(405\) 10.0873 + 17.4140i 0.501240 + 0.865308i
\(406\) −6.21697 6.15927i −0.308543 0.305680i
\(407\) 3.70715i 0.183756i
\(408\) −22.7972 18.0685i −1.12863 0.894523i
\(409\) 7.32076 + 22.5310i 0.361988 + 1.11409i 0.951846 + 0.306578i \(0.0991841\pi\)
−0.589857 + 0.807508i \(0.700816\pi\)
\(410\) 8.03991 10.3473i 0.397063 0.511016i
\(411\) 1.65846 + 0.965279i 0.0818058 + 0.0476137i
\(412\) −6.82238 9.20841i −0.336114 0.453666i
\(413\) 3.56832 + 10.9822i 0.175586 + 0.540397i
\(414\) −17.9960 11.7469i −0.884454 0.577329i
\(415\) −4.39098 + 22.3510i −0.215545 + 1.09717i
\(416\) 6.58009 13.6942i 0.322615 0.671412i
\(417\) 20.5644 9.06964i 1.00705 0.444142i
\(418\) −0.383977 2.35328i −0.0187809 0.115102i
\(419\) 12.2451 8.89660i 0.598213 0.434627i −0.247031 0.969008i \(-0.579455\pi\)
0.845244 + 0.534380i \(0.179455\pi\)
\(420\) −34.2902 14.4010i −1.67319 0.702697i
\(421\) 3.89160 + 2.82741i 0.189665 + 0.137800i 0.678566 0.734540i \(-0.262602\pi\)
−0.488901 + 0.872339i \(0.662602\pi\)
\(422\) 15.0042 29.7899i 0.730393 1.45015i
\(423\) −5.05133 4.61277i −0.245604 0.224281i
\(424\) 2.15127 1.13430i 0.104475 0.0550866i
\(425\) 15.6320 + 25.2404i 0.758262 + 1.22434i
\(426\) −1.39811 + 27.2812i −0.0677386 + 1.32178i
\(427\) −7.63161 + 23.4877i −0.369320 + 1.13665i
\(428\) −3.89811 + 12.3890i −0.188422 + 0.598846i
\(429\) 1.74968 + 1.95697i 0.0844753 + 0.0944833i
\(430\) −9.25867 + 6.28098i −0.446493 + 0.302896i
\(431\) −16.6586 + 12.1032i −0.802417 + 0.582990i −0.911622 0.411029i \(-0.865169\pi\)
0.109205 + 0.994019i \(0.465169\pi\)
\(432\) −0.169014 20.7839i −0.00813170 0.999967i
\(433\) 14.3398 + 19.7370i 0.689125 + 0.948500i 0.999998 0.00195184i \(-0.000621291\pi\)
−0.310873 + 0.950452i \(0.600621\pi\)
\(434\) 25.1926 12.9846i 1.20928 0.623280i
\(435\) −3.29549 + 3.74914i −0.158006 + 0.179758i
\(436\) 0.141626 + 15.1890i 0.00678263 + 0.727419i
\(437\) 4.67674 + 14.3935i 0.223719 + 0.688535i
\(438\) −6.65868 24.7360i −0.318164 1.18193i
\(439\) 20.6987 + 6.72542i 0.987896 + 0.320987i 0.758019 0.652233i \(-0.226167\pi\)
0.229877 + 0.973220i \(0.426167\pi\)
\(440\) −0.0817941 + 3.56805i −0.00389938 + 0.170100i
\(441\) 5.36978 47.8599i 0.255704 2.27904i
\(442\) −16.0218 15.8731i −0.762077 0.755004i
\(443\) 12.6680i 0.601874i −0.953644 0.300937i \(-0.902701\pi\)
0.953644 0.300937i \(-0.0972993\pi\)
\(444\) −16.8229 + 15.3256i −0.798379 + 0.727320i
\(445\) 9.58601 + 20.6650i 0.454421 + 0.979617i
\(446\) 4.28631 + 2.15887i 0.202963 + 0.102226i
\(447\) −2.68236 3.00015i −0.126871 0.141902i
\(448\) 23.4378 + 30.4317i 1.10733 + 1.43776i
\(449\) 31.4737i 1.48534i 0.669659 + 0.742669i \(0.266440\pi\)
−0.669659 + 0.742669i \(0.733560\pi\)
\(450\) −7.03352 + 20.0132i −0.331563 + 0.943433i
\(451\) 2.33834i 0.110108i
\(452\) −0.0434478 4.65966i −0.00204361 0.219172i
\(453\) 4.67998 + 5.23443i 0.219885 + 0.245935i
\(454\) −17.3467 + 34.4409i −0.814123 + 1.61639i
\(455\) −25.1917 14.0299i −1.18101 0.657733i
\(456\) −9.09169 + 11.4711i −0.425757 + 0.537182i
\(457\) 12.4271i 0.581314i −0.956827 0.290657i \(-0.906126\pi\)
0.956827 0.290657i \(-0.0938738\pi\)
\(458\) −3.20826 + 3.23832i −0.149912 + 0.151317i
\(459\) −29.2418 9.84238i −1.36489 0.459403i
\(460\) −2.92532 22.4634i −0.136394 1.04736i
\(461\) −25.2483 8.20366i −1.17593 0.382083i −0.345077 0.938575i \(-0.612147\pi\)
−0.830853 + 0.556492i \(0.812147\pi\)
\(462\) −6.40865 + 1.72514i −0.298157 + 0.0802608i
\(463\) 12.8846 + 39.6547i 0.598798 + 1.84291i 0.534833 + 0.844958i \(0.320374\pi\)
0.0639642 + 0.997952i \(0.479626\pi\)
\(464\) 4.87245 1.68423i 0.226198 0.0781885i
\(465\) −8.24952 13.9023i −0.382562 0.644703i
\(466\) −7.28286 14.1302i −0.337372 0.654568i
\(467\) 0.0596587 + 0.0821131i 0.00276067 + 0.00379974i 0.810395 0.585884i \(-0.199252\pi\)
−0.807634 + 0.589684i \(0.799252\pi\)
\(468\) 1.64736 16.0302i 0.0761493 0.740996i
\(469\) 42.8362 31.1223i 1.97799 1.43709i
\(470\) 0.232459 7.20686i 0.0107225 0.332428i
\(471\) −19.8192 22.1672i −0.913218 1.02141i
\(472\) −6.73283 0.970056i −0.309904 0.0446504i
\(473\) −0.616955 + 1.89879i −0.0283676 + 0.0873065i
\(474\) 23.8947 + 1.22456i 1.09752 + 0.0562458i
\(475\) 12.7005 7.86569i 0.582737 0.360903i
\(476\) 54.0621 18.1248i 2.47793 0.830751i
\(477\) 1.73944 1.90481i 0.0796433 0.0872154i
\(478\) 4.61582 + 2.32484i 0.211123 + 0.106336i
\(479\) 4.14680 + 3.01282i 0.189472 + 0.137659i 0.678477 0.734621i \(-0.262640\pi\)
−0.489005 + 0.872281i \(0.662640\pi\)
\(480\) 16.5298 14.3793i 0.754479 0.656325i
\(481\) −14.2742 + 10.3708i −0.650847 + 0.472868i
\(482\) −23.5189 + 3.83750i −1.07126 + 0.174794i
\(483\) 38.5429 16.9988i 1.75376 0.773471i
\(484\) −12.7175 17.1653i −0.578069 0.780241i
\(485\) 26.7489 3.23008i 1.21460 0.146670i
\(486\) −7.63495 20.6811i −0.346328 0.938113i
\(487\) −2.69746 8.30192i −0.122233 0.376196i 0.871153 0.491011i \(-0.163372\pi\)
−0.993387 + 0.114815i \(0.963372\pi\)
\(488\) −10.4300 10.1423i −0.472146 0.459120i
\(489\) 7.85254 + 4.57044i 0.355104 + 0.206683i
\(490\) 42.0106 28.4996i 1.89785 1.28748i
\(491\) −5.01666 15.4397i −0.226399 0.696784i −0.998147 0.0608552i \(-0.980617\pi\)
0.771748 0.635929i \(-0.219383\pi\)
\(492\) −10.6113 + 9.66685i −0.478394 + 0.435815i
\(493\) 7.65282i 0.344666i
\(494\) −7.98700 + 8.06182i −0.359352 + 0.362718i
\(495\) 1.20013 + 3.59020i 0.0539419 + 0.161367i
\(496\) 0.311325 + 16.6929i 0.0139789 + 0.749534i
\(497\) −43.3194 31.4734i −1.94314 1.41177i
\(498\) 8.91514 23.3053i 0.399497 1.04433i
\(499\) 1.17377i 0.0525453i −0.999655 0.0262726i \(-0.991636\pi\)
0.999655 0.0262726i \(-0.00836380\pi\)
\(500\) −20.8487 + 8.08273i −0.932383 + 0.361471i
\(501\) −37.9851 8.21326i −1.69705 0.366942i
\(502\) −1.01924 + 6.63530i −0.0454910 + 0.296148i
\(503\) 0.966260 1.32994i 0.0430834 0.0592992i −0.786932 0.617040i \(-0.788332\pi\)
0.830015 + 0.557741i \(0.188332\pi\)
\(504\) 34.3224 + 21.9504i 1.52884 + 0.977748i
\(505\) −19.0240 + 17.6692i −0.846557 + 0.786269i
\(506\) −2.87172 2.84507i −0.127663 0.126479i
\(507\) −2.11820 + 9.79636i −0.0940725 + 0.435072i
\(508\) −12.9391 + 18.1628i −0.574078 + 0.805845i
\(509\) 12.1633 3.95210i 0.539130 0.175174i −0.0267795 0.999641i \(-0.508525\pi\)
0.565909 + 0.824467i \(0.308525\pi\)
\(510\) −12.1578 30.1648i −0.538356 1.33572i
\(511\) 47.7551 + 15.5166i 2.11256 + 0.686413i
\(512\) −22.1807 + 4.47403i −0.980257 + 0.197726i
\(513\) −4.95248 + 14.7139i −0.218657 + 0.649633i
\(514\) −3.32397 + 21.6392i −0.146614 + 0.954464i
\(515\) −1.53609 12.7206i −0.0676881 0.560539i
\(516\) 11.1672 5.05001i 0.491607 0.222314i
\(517\) −0.756319 1.04098i −0.0332629 0.0457824i
\(518\) −7.18347 44.0253i −0.315624 1.93436i
\(519\) 1.09203 + 2.47606i 0.0479348 + 0.108687i
\(520\) 13.9674 9.66673i 0.612512 0.423914i
\(521\) 8.03203 11.0551i 0.351890 0.484335i −0.595977 0.803001i \(-0.703235\pi\)
0.947867 + 0.318667i \(0.103235\pi\)
\(522\) 4.25754 3.43116i 0.186348 0.150178i
\(523\) 13.7451 42.3032i 0.601033 1.84979i 0.0789793 0.996876i \(-0.474834\pi\)
0.522054 0.852913i \(-0.325166\pi\)
\(524\) −35.5553 + 11.9202i −1.55324 + 0.520738i
\(525\) −25.3534 32.9577i −1.10651 1.43839i
\(526\) −1.74325 10.6839i −0.0760095 0.465839i
\(527\) 23.5711 + 7.65871i 1.02677 + 0.333619i
\(528\) 0.754858 3.83606i 0.0328510 0.166943i
\(529\) 2.15041 + 1.56236i 0.0934960 + 0.0679289i
\(530\) 2.71765 + 0.0876582i 0.118047 + 0.00380763i
\(531\) −7.06767 + 1.45057i −0.306711 + 0.0629492i
\(532\) −9.12005 27.2030i −0.395404 1.17940i
\(533\) −9.00368 + 6.54155i −0.389992 + 0.283346i
\(534\) −6.48655 24.0966i −0.280701 1.04276i
\(535\) −10.6396 + 9.88191i −0.459991 + 0.427232i
\(536\) 5.30973 + 30.7358i 0.229346 + 1.32758i
\(537\) 22.5316 2.28834i 0.972312 0.0987494i
\(538\) 5.63146 2.90252i 0.242789 0.125137i
\(539\) 2.79939 8.61565i 0.120578 0.371102i
\(540\) 11.3308 20.2883i 0.487599 0.873068i
\(541\) 4.31405 + 13.2773i 0.185475 + 0.570835i 0.999956 0.00935592i \(-0.00297813\pi\)
−0.814481 + 0.580190i \(0.802978\pi\)
\(542\) −0.554579 0.549432i −0.0238212 0.0236001i
\(543\) −1.94462 + 8.99358i −0.0834516 + 0.385952i
\(544\) −4.47984 + 33.2892i −0.192072 + 1.42726i
\(545\) −8.26297 + 14.8367i −0.353947 + 0.635536i
\(546\) 24.5709 + 19.8501i 1.05154 + 0.849506i
\(547\) −4.50647 3.27414i −0.192683 0.139992i 0.487261 0.873256i \(-0.337996\pi\)
−0.679944 + 0.733264i \(0.737996\pi\)
\(548\) −0.0206595 2.21568i −0.000882532 0.0946492i
\(549\) −14.0524 6.37493i −0.599740 0.272076i
\(550\) −2.05286 + 3.42167i −0.0875342 + 0.145901i
\(551\) −3.85075 −0.164047
\(552\) −1.03894 + 24.7934i −0.0442202 + 1.05528i
\(553\) −27.5665 + 37.9420i −1.17225 + 1.61346i
\(554\) −4.74137 + 9.41371i −0.201442 + 0.399950i
\(555\) −24.8222 + 5.58691i −1.05364 + 0.237151i
\(556\) −21.1374 15.0582i −0.896427 0.638608i
\(557\) −10.5246 −0.445943 −0.222971 0.974825i \(-0.571576\pi\)
−0.222971 + 0.974825i \(0.571576\pi\)
\(558\) 6.30734 + 16.5472i 0.267011 + 0.700501i
\(559\) 9.03715 2.93635i 0.382231 0.124194i
\(560\) 5.94256 + 42.5319i 0.251119 + 1.79730i
\(561\) −5.01590 2.91942i −0.211772 0.123258i
\(562\) 16.7154 8.61529i 0.705095 0.363414i
\(563\) 37.8984 12.3139i 1.59723 0.518971i 0.630808 0.775939i \(-0.282724\pi\)
0.966420 + 0.256969i \(0.0827237\pi\)
\(564\) −1.59727 + 7.73564i −0.0672574 + 0.325729i
\(565\) 2.53491 4.55161i 0.106644 0.191488i
\(566\) 13.2912 + 25.7876i 0.558672 + 1.08393i
\(567\) 42.1381 + 9.57616i 1.76964 + 0.402161i
\(568\) 27.9020 14.7119i 1.17074 0.617296i
\(569\) −1.50392 2.06997i −0.0630475 0.0867775i 0.776329 0.630328i \(-0.217080\pi\)
−0.839376 + 0.543551i \(0.817080\pi\)
\(570\) −15.1783 + 6.11755i −0.635749 + 0.256236i
\(571\) −8.21134 + 11.3019i −0.343634 + 0.472971i −0.945498 0.325627i \(-0.894425\pi\)
0.601865 + 0.798598i \(0.294425\pi\)
\(572\) 0.909770 2.89144i 0.0380394 0.120897i
\(573\) −13.3116 7.74781i −0.556101 0.323669i
\(574\) −4.53109 27.7696i −0.189124 1.15908i
\(575\) 9.58145 23.4446i 0.399574 0.977706i
\(576\) −20.5285 + 12.4330i −0.855355 + 0.518042i
\(577\) 29.2067 + 9.48983i 1.21589 + 0.395067i 0.845584 0.533843i \(-0.179253\pi\)
0.370306 + 0.928910i \(0.379253\pi\)
\(578\) 23.0602 + 11.6147i 0.959178 + 0.483106i
\(579\) 2.71976 + 3.04198i 0.113029 + 0.126420i
\(580\) 5.66583 + 1.05832i 0.235261 + 0.0439443i
\(581\) 28.7488 + 39.5694i 1.19270 + 1.64161i
\(582\) −29.4761 1.51060i −1.22183 0.0626162i
\(583\) 0.392546 0.285202i 0.0162576 0.0118118i
\(584\) −20.6213 + 21.2063i −0.853315 + 0.877524i
\(585\) 10.4665 14.6647i 0.432737 0.606311i
\(586\) −1.06349 + 6.92337i −0.0439324 + 0.286002i
\(587\) −16.8163 + 5.46395i −0.694083 + 0.225521i −0.634751 0.772717i \(-0.718897\pi\)
−0.0593322 + 0.998238i \(0.518897\pi\)
\(588\) −50.6704 + 22.9141i −2.08961 + 0.944961i
\(589\) 3.85371 11.8605i 0.158789 0.488703i
\(590\) −6.00548 4.66630i −0.247242 0.192108i
\(591\) 31.5228 3.20150i 1.29668 0.131692i
\(592\) 25.1385 + 7.65279i 1.03319 + 0.314528i
\(593\) −28.9571 −1.18913 −0.594564 0.804049i \(-0.702675\pi\)
−0.594564 + 0.804049i \(0.702675\pi\)
\(594\) −0.624712 4.09946i −0.0256322 0.168203i
\(595\) 62.5540 + 12.2891i 2.56446 + 0.503805i
\(596\) −1.39473 + 4.43276i −0.0571305 + 0.181573i
\(597\) 23.4112 + 26.1848i 0.958157 + 1.07167i
\(598\) −2.92111 + 19.0165i −0.119453 + 0.777644i
\(599\) 9.07607 0.370838 0.185419 0.982660i \(-0.440636\pi\)
0.185419 + 0.982660i \(0.440636\pi\)
\(600\) 24.0141 4.82960i 0.980370 0.197168i
\(601\) 24.3672 0.993957 0.496979 0.867763i \(-0.334443\pi\)
0.496979 + 0.867763i \(0.334443\pi\)
\(602\) −3.64747 + 23.7451i −0.148660 + 0.967780i
\(603\) 16.3403 + 28.7661i 0.665428 + 1.17145i
\(604\) 2.43342 7.73393i 0.0990145 0.314689i
\(605\) −2.86341 23.7124i −0.116414 0.964047i
\(606\) 23.8354 15.5181i 0.968245 0.630379i
\(607\) −7.24828 −0.294199 −0.147099 0.989122i \(-0.546994\pi\)
−0.147099 + 0.989122i \(0.546994\pi\)
\(608\) 16.7504 + 2.25416i 0.679320 + 0.0914184i
\(609\) 1.08299 + 10.6634i 0.0438850 + 0.432103i
\(610\) −4.52498 15.6234i −0.183211 0.632572i
\(611\) −1.89244 + 5.82435i −0.0765601 + 0.235628i
\(612\) 7.48782 + 34.8311i 0.302677 + 1.40796i
\(613\) −15.3537 + 4.98872i −0.620130 + 0.201493i −0.602198 0.798347i \(-0.705708\pi\)
−0.0179323 + 0.999839i \(0.505708\pi\)
\(614\) −6.65046 + 43.2947i −0.268391 + 1.74723i
\(615\) −15.6570 + 3.52403i −0.631350 + 0.142103i
\(616\) 5.49417 + 5.34260i 0.221366 + 0.215259i
\(617\) 34.4349 25.0184i 1.38630 1.00720i 0.390035 0.920800i \(-0.372463\pi\)
0.996260 0.0864025i \(-0.0275371\pi\)
\(618\) −0.718375 + 14.0176i −0.0288973 + 0.563871i
\(619\) −12.4072 17.0771i −0.498689 0.686387i 0.483272 0.875470i \(-0.339448\pi\)
−0.981961 + 0.189084i \(0.939448\pi\)
\(620\) −8.92987 + 16.3919i −0.358632 + 0.658316i
\(621\) 7.86979 + 25.1164i 0.315804 + 1.00789i
\(622\) −33.1850 16.7142i −1.33060 0.670177i
\(623\) 46.5206 + 15.1155i 1.86381 + 0.605589i
\(624\) −16.8823 + 7.82491i −0.675833 + 0.313247i
\(625\) −24.7281 3.67721i −0.989123 0.147088i
\(626\) −3.40843 20.8892i −0.136228 0.834900i
\(627\) −1.46899 + 2.52390i −0.0586660 + 0.100795i
\(628\) −10.3052 + 32.7523i −0.411224 + 1.30696i
\(629\) 22.9282 31.5579i 0.914206 1.25830i
\(630\) 21.2094 + 40.3109i 0.845002 + 1.60602i
\(631\) 17.2994 + 23.8106i 0.688678 + 0.947884i 0.999997 0.00242177i \(-0.000770875\pi\)
−0.311319 + 0.950305i \(0.600771\pi\)
\(632\) −12.8856 24.4384i −0.512563 0.972107i
\(633\) −37.3778 + 16.4849i −1.48563 + 0.655216i
\(634\) −14.9186 28.9450i −0.592493 1.14955i
\(635\) −22.6176 + 10.4918i −0.897554 + 0.416353i
\(636\) −2.91704 0.602319i −0.115668 0.0238835i
\(637\) −41.0055 + 13.3235i −1.62470 + 0.527896i
\(638\) 0.914258 0.471220i 0.0361958 0.0186558i
\(639\) 22.5604 24.7054i 0.892477 0.977329i
\(640\) −24.0264 7.92030i −0.949728 0.313077i
\(641\) −39.7668 + 12.9210i −1.57069 + 0.510349i −0.959638 0.281238i \(-0.909255\pi\)
−0.611056 + 0.791588i \(0.709255\pi\)
\(642\) 13.3305 8.67886i 0.526112 0.342527i
\(643\) −2.95464 −0.116520 −0.0582598 0.998301i \(-0.518555\pi\)
−0.0582598 + 0.998301i \(0.518555\pi\)
\(644\) −39.6169 28.2228i −1.56112 1.11213i
\(645\) 13.6436 + 1.26938i 0.537218 + 0.0499819i
\(646\) 11.2860 22.4076i 0.444041 0.881617i
\(647\) −1.40305 + 1.93113i −0.0551595 + 0.0759205i −0.835706 0.549178i \(-0.814941\pi\)
0.780546 + 0.625098i \(0.214941\pi\)
\(648\) −16.0206 + 19.7823i −0.629348 + 0.777124i
\(649\) −1.35715 −0.0532729
\(650\) 18.9179 1.66774i 0.742021 0.0654143i
\(651\) −33.9277 7.33594i −1.32973 0.287518i
\(652\) −0.0978197 10.4909i −0.00383091 0.410855i
\(653\) 4.94007 + 3.58917i 0.193320 + 0.140455i 0.680235 0.732994i \(-0.261878\pi\)
−0.486915 + 0.873449i \(0.661878\pi\)
\(654\) 11.6908 14.4711i 0.457145 0.565865i
\(655\) −41.1402 8.08224i −1.60748 0.315799i
\(656\) 15.8565 + 4.82712i 0.619093 + 0.188467i
\(657\) −12.9615 + 28.5712i −0.505676 + 1.11467i
\(658\) −10.9990 10.8970i −0.428787 0.424808i
\(659\) 6.20420 + 19.0946i 0.241681 + 0.743818i 0.996165 + 0.0874991i \(0.0278875\pi\)
−0.754483 + 0.656319i \(0.772113\pi\)
\(660\) 2.85508 3.30984i 0.111134 0.128835i
\(661\) −7.04646 + 21.6868i −0.274076 + 0.843518i 0.715387 + 0.698728i \(0.246250\pi\)
−0.989463 + 0.144789i \(0.953750\pi\)
\(662\) 23.5692 12.1479i 0.916044 0.472140i
\(663\) 2.79097 + 27.4807i 0.108392 + 1.06726i
\(664\) −28.3918 + 4.90480i −1.10182 + 0.190343i
\(665\) 6.18363 31.4759i 0.239791 1.22058i
\(666\) 27.8367 1.39331i 1.07865 0.0539895i
\(667\) −5.28160 + 3.83731i −0.204504 + 0.148581i
\(668\) 14.2645 + 42.5476i 0.551909 + 1.64621i
\(669\) −2.37192 5.37808i −0.0917038 0.207929i
\(670\) −11.8399 + 32.8012i −0.457414 + 1.26722i
\(671\) −2.34822 1.70608i −0.0906520 0.0658625i
\(672\) 1.53126 47.0190i 0.0590696 1.81380i
\(673\) 40.7939 + 13.2547i 1.57249 + 0.510933i 0.960108 0.279630i \(-0.0902117\pi\)
0.612381 + 0.790562i \(0.290212\pi\)
\(674\) −4.60401 28.2165i −0.177340 1.08686i
\(675\) 22.2304 13.4465i 0.855650 0.517554i
\(676\) 10.9730 3.67881i 0.422039 0.141493i
\(677\) 6.19398 19.0631i 0.238054 0.732655i −0.758647 0.651501i \(-0.774139\pi\)
0.996702 0.0811540i \(-0.0258605\pi\)
\(678\) −3.58649 + 4.43943i −0.137738 + 0.170495i
\(679\) 34.0056 46.8047i 1.30502 1.79620i
\(680\) −22.7642 + 29.8679i −0.872966 + 1.14538i
\(681\) 43.2134 19.0586i 1.65594 0.730327i
\(682\) 0.536419 + 3.28754i 0.0205405 + 0.125887i
\(683\) −1.21078 1.66649i −0.0463292 0.0637666i 0.785224 0.619212i \(-0.212548\pi\)
−0.831553 + 0.555445i \(0.812548\pi\)
\(684\) 17.5263 3.76772i 0.670134 0.144062i
\(685\) 1.20536 2.16430i 0.0460543 0.0826937i
\(686\) 9.33355 60.7618i 0.356357 2.31989i
\(687\) 5.55439 0.564111i 0.211913 0.0215222i
\(688\) −11.6023 8.10337i −0.442333 0.308938i
\(689\) −2.19631 0.713625i −0.0836728 0.0271869i
\(690\) −14.7220 + 23.5160i −0.560458 + 0.895240i
\(691\) −2.85791 + 0.928592i −0.108720 + 0.0353253i −0.362872 0.931839i \(-0.618204\pi\)
0.254152 + 0.967164i \(0.418204\pi\)
\(692\) 1.81308 2.54505i 0.0689228 0.0967484i
\(693\) 7.40227 + 3.35808i 0.281189 + 0.127563i
\(694\) −12.0580 11.9461i −0.457716 0.453468i
\(695\) −12.2101 26.3218i −0.463154 0.998444i
\(696\) −5.91798 2.20082i −0.224320 0.0834218i
\(697\) 14.4623 19.9057i 0.547799 0.753981i
\(698\) 4.15746 27.0652i 0.157362 1.02443i
\(699\) −4.11462 + 19.0295i −0.155629 + 0.719763i
\(700\) −17.7490 + 44.6129i −0.670850 + 1.68621i
\(701\) 16.4366i 0.620802i −0.950606 0.310401i \(-0.899537\pi\)
0.950606 0.310401i \(-0.100463\pi\)
\(702\) −14.0371 + 13.8737i −0.529797 + 0.523630i
\(703\) −15.8793 11.5370i −0.598899 0.435126i
\(704\) −4.25280 + 1.51458i −0.160283 + 0.0570828i
\(705\) −5.83036 + 6.63296i −0.219584 + 0.249812i
\(706\) 0.734257 0.741135i 0.0276341 0.0278930i
\(707\) 55.7505i 2.09671i
\(708\) 5.61056 + 6.15871i 0.210858 + 0.231459i
\(709\) −9.80113 30.1648i −0.368089 1.13286i −0.948024 0.318199i \(-0.896922\pi\)
0.579934 0.814663i \(-0.303078\pi\)
\(710\) 35.2478 + 1.13692i 1.32283 + 0.0426680i
\(711\) −21.6386 19.7599i −0.811511 0.741055i
\(712\) −20.0882 + 20.6582i −0.752839 + 0.774197i
\(713\) −6.53344 20.1079i −0.244679 0.753045i
\(714\) −65.2249 24.9510i −2.44098 0.933766i
\(715\) 2.48316 2.30632i 0.0928648 0.0862513i
\(716\) −15.5678 21.0125i −0.581798 0.785273i
\(717\) −2.55427 5.79153i −0.0953908 0.216289i
\(718\) 45.0006 7.34261i 1.67941 0.274024i
\(719\) −20.2701 + 14.7271i −0.755945 + 0.549226i −0.897664 0.440680i \(-0.854737\pi\)
0.141719 + 0.989907i \(0.454737\pi\)
\(720\) −26.8230 + 0.726840i −0.999633 + 0.0270877i
\(721\) −22.2584 16.1716i −0.828944 0.602263i
\(722\) 12.7229 + 6.40812i 0.473499 + 0.238486i
\(723\) 25.2241 + 14.6813i 0.938095 + 0.546003i
\(724\) 10.0738 3.37734i 0.374390 0.125518i
\(725\) 4.91991 + 4.16193i 0.182721 + 0.154570i
\(726\) −1.33912 + 26.1301i −0.0496993 + 0.969778i
\(727\) 2.99029 9.20317i 0.110904 0.341327i −0.880167 0.474664i \(-0.842569\pi\)
0.991071 + 0.133338i \(0.0425695\pi\)
\(728\) 5.20138 36.1011i 0.192776 1.33799i
\(729\) −8.88165 + 25.4974i −0.328950 + 0.944347i
\(730\) −31.7654 + 9.20018i −1.17569 + 0.340514i
\(731\) −16.9957 + 12.3481i −0.628610 + 0.456712i
\(732\) 1.96555 + 17.7092i 0.0726490 + 0.654550i
\(733\) −21.6014 29.7317i −0.797865 1.09817i −0.993084 0.117407i \(-0.962542\pi\)
0.195219 0.980760i \(-0.437458\pi\)
\(734\) 9.84778 + 19.1066i 0.363488 + 0.705238i
\(735\) −61.9072 5.75974i −2.28348 0.212451i
\(736\) 25.2209 13.6002i 0.929653 0.501311i
\(737\) 1.92301 + 5.91843i 0.0708351 + 0.218008i
\(738\) 17.5584 0.878850i 0.646335 0.0323509i
\(739\) −21.8513 7.09993i −0.803814 0.261175i −0.121838 0.992550i \(-0.538879\pi\)
−0.681976 + 0.731375i \(0.738879\pi\)
\(740\) 20.1934 + 21.3393i 0.742325 + 0.784447i
\(741\) 13.8277 1.40436i 0.507973 0.0515905i
\(742\) 4.10915 4.14764i 0.150852 0.152265i
\(743\) 42.5075i 1.55945i 0.626122 + 0.779725i \(0.284641\pi\)
−0.626122 + 0.779725i \(0.715359\pi\)
\(744\) 12.7012 16.0252i 0.465647 0.587511i
\(745\) −3.80683 + 3.53572i −0.139471 + 0.129539i
\(746\) −7.52513 + 14.9407i −0.275515 + 0.547018i
\(747\) −26.5723 + 15.0942i −0.972231 + 0.552266i
\(748\) 0.0624835 + 6.70118i 0.00228462 + 0.245020i
\(749\) 31.1798i 1.13928i
\(750\) 26.0045 + 8.58878i 0.949549 + 0.313618i
\(751\) 3.91664i 0.142920i 0.997443 + 0.0714601i \(0.0227659\pi\)
−0.997443 + 0.0714601i \(0.977234\pi\)
\(752\) 8.62031 2.97973i 0.314350 0.108660i
\(753\) 6.12928 5.48005i 0.223364 0.199704i
\(754\) −4.37206 2.20206i −0.159221 0.0801945i
\(755\) 6.64186 6.16885i 0.241722 0.224508i
\(756\) −15.3626 47.4738i −0.558733 1.72660i
\(757\) 49.1067i 1.78481i −0.451232 0.892407i \(-0.649015\pi\)
0.451232 0.892407i \(-0.350985\pi\)
\(758\) −0.955527 0.946659i −0.0347063 0.0343842i
\(759\) 0.500250 + 4.92560i 0.0181579 + 0.178788i
\(760\) 15.0289 + 11.4545i 0.545157 + 0.415497i
\(761\) 19.9746 + 6.49015i 0.724079 + 0.235268i 0.647791 0.761818i \(-0.275693\pi\)
0.0762884 + 0.997086i \(0.475693\pi\)
\(762\) 26.3735 7.09945i 0.955410 0.257186i
\(763\) 11.2685 + 34.6809i 0.407948 + 1.25553i
\(764\) 0.165824 + 17.7842i 0.00599929 + 0.643408i
\(765\) −11.9885 + 37.9850i −0.433444 + 1.37335i
\(766\) −18.1923 + 9.37651i −0.657313 + 0.338787i
\(767\) 3.79666 + 5.22566i 0.137090 + 0.188688i
\(768\) 24.4544 + 13.0377i 0.882423 + 0.470457i
\(769\) −11.5612 + 8.39967i −0.416906 + 0.302900i −0.776392 0.630251i \(-0.782952\pi\)
0.359486 + 0.933151i \(0.382952\pi\)
\(770\) 2.38360 + 8.22982i 0.0858989 + 0.296582i
\(771\) 19.9890 17.8717i 0.719885 0.643632i
\(772\) 1.41418 4.49456i 0.0508974 0.161763i
\(773\) −6.00272 + 18.4745i −0.215903 + 0.664481i 0.783185 + 0.621788i \(0.213594\pi\)
−0.999088