Properties

Label 177.2.e.b.22.2
Level $177$
Weight $2$
Character 177.22
Analytic conductor $1.413$
Analytic rank $0$
Dimension $140$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 177.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.41335211578\)
Analytic rank: \(0\)
Dimension: \(140\)
Relative dimension: \(5\) over \(\Q(\zeta_{29})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 22.2
Character \(\chi\) \(=\) 177.22
Dual form 177.2.e.b.169.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.0772031 - 0.470918i) q^{2} +(-0.267528 - 0.963550i) q^{3} +(1.67950 - 0.565890i) q^{4} +(-0.369128 + 0.544423i) q^{5} +(-0.433099 + 0.200373i) q^{6} +(3.18087 + 0.700162i) q^{7} +(-0.843204 - 1.59045i) q^{8} +(-0.856857 + 0.515554i) q^{9} +O(q^{10})\) \(q+(-0.0772031 - 0.470918i) q^{2} +(-0.267528 - 0.963550i) q^{3} +(1.67950 - 0.565890i) q^{4} +(-0.369128 + 0.544423i) q^{5} +(-0.433099 + 0.200373i) q^{6} +(3.18087 + 0.700162i) q^{7} +(-0.843204 - 1.59045i) q^{8} +(-0.856857 + 0.515554i) q^{9} +(0.284876 + 0.131798i) q^{10} +(-1.46239 - 1.11168i) q^{11} +(-0.994578 - 1.46689i) q^{12} +(-2.36213 - 1.42125i) q^{13} +(0.0841460 - 1.55198i) q^{14} +(0.623331 + 0.210025i) q^{15} +(2.13792 - 1.62520i) q^{16} +(4.71674 - 1.03823i) q^{17} +(0.308936 + 0.363707i) q^{18} +(-3.87004 - 0.420892i) q^{19} +(-0.311868 + 1.12325i) q^{20} +(-0.176331 - 3.25224i) q^{21} +(-0.410609 + 0.774492i) q^{22} +(-5.38869 + 6.34405i) q^{23} +(-1.30690 + 1.23796i) q^{24} +(1.69055 + 4.24296i) q^{25} +(-0.486927 + 1.22209i) q^{26} +(0.725995 + 0.687699i) q^{27} +(5.73849 - 0.624098i) q^{28} +(0.0667431 - 0.407115i) q^{29} +(0.0507813 - 0.309752i) q^{30} +(4.84278 - 0.526684i) q^{31} +(-3.54419 - 3.35723i) q^{32} +(-0.679929 + 1.70649i) q^{33} +(-0.853071 - 2.14105i) q^{34} +(-1.55533 + 1.47329i) q^{35} +(-1.14735 + 1.35076i) q^{36} +(-2.50140 + 4.71815i) q^{37} +(0.100573 + 1.85496i) q^{38} +(-0.737505 + 2.65625i) q^{39} +(1.17713 + 0.128020i) q^{40} +(4.27135 + 5.02862i) q^{41} +(-1.51792 + 0.334120i) q^{42} +(-6.45524 + 4.90714i) q^{43} +(-3.08518 - 1.03952i) q^{44} +(0.0356105 - 0.656798i) q^{45} +(3.40355 + 2.04785i) q^{46} +(-0.180009 - 0.265493i) q^{47} +(-2.13792 - 1.62520i) q^{48} +(3.27466 + 1.51502i) q^{49} +(1.86757 - 1.12368i) q^{50} +(-2.26225 - 4.26706i) q^{51} +(-4.77147 - 1.05028i) q^{52} +(-8.04672 + 3.72281i) q^{53} +(0.267801 - 0.394977i) q^{54} +(1.14503 - 0.385807i) q^{55} +(-1.56855 - 5.64939i) q^{56} +(0.629794 + 3.84157i) q^{57} -0.196871 q^{58} +(7.50370 - 1.64151i) q^{59} +1.16574 q^{60} +(0.932486 + 5.68791i) q^{61} +(-0.621902 - 2.23989i) q^{62} +(-3.08652 + 1.03997i) q^{63} +(1.70679 - 2.51733i) q^{64} +(1.64569 - 0.761376i) q^{65} +(0.856111 + 0.188444i) q^{66} +(-3.98971 - 7.52539i) q^{67} +(7.33426 - 4.41288i) q^{68} +(7.55444 + 3.49506i) q^{69} +(0.813874 + 0.618691i) q^{70} +(-3.38098 - 4.98657i) q^{71} +(1.54247 + 0.928073i) q^{72} +(-0.228524 + 4.21488i) q^{73} +(2.41498 + 0.813701i) q^{74} +(3.63603 - 2.76404i) q^{75} +(-6.73791 + 1.48313i) q^{76} +(-3.87331 - 4.56002i) q^{77} +(1.30782 + 0.142234i) q^{78} +(4.10503 - 14.7850i) q^{79} +(0.0956326 + 1.76384i) q^{80} +(0.468408 - 0.883512i) q^{81} +(2.03831 - 2.39968i) q^{82} +(11.6148 - 11.0021i) q^{83} +(-2.13656 - 5.36236i) q^{84} +(-1.17584 + 2.95114i) q^{85} +(2.80923 + 2.66104i) q^{86} +(-0.410131 + 0.0446045i) q^{87} +(-0.534980 + 3.26324i) q^{88} +(-1.37824 + 8.40688i) q^{89} +(-0.312047 + 0.0339372i) q^{90} +(-6.51852 - 6.17467i) q^{91} +(-5.46028 + 13.7043i) q^{92} +(-1.80307 - 4.52535i) q^{93} +(-0.111128 + 0.105266i) q^{94} +(1.65768 - 1.95157i) q^{95} +(-2.28669 + 4.31316i) q^{96} +(-0.182683 - 3.36938i) q^{97} +(0.460636 - 1.65906i) q^{98} +(1.82619 + 0.198610i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 140q + q^{2} + 5q^{3} - q^{4} + 2q^{5} - q^{6} - 2q^{7} - 3q^{8} - 5q^{9} + O(q^{10}) \) \( 140q + q^{2} + 5q^{3} - q^{4} + 2q^{5} - q^{6} - 2q^{7} - 3q^{8} - 5q^{9} - 116q^{10} + 2q^{11} + q^{12} + 4q^{13} - 43q^{14} - 2q^{15} + 7q^{16} + q^{18} - 2q^{19} + 4q^{20} - 27q^{21} + 6q^{22} + 6q^{23} + 3q^{24} - 57q^{25} + 12q^{26} + 5q^{27} - 10q^{28} - 4q^{29} - 12q^{31} - 150q^{32} - 2q^{33} - 2q^{34} + 6q^{35} - q^{36} + 12q^{37} - 12q^{38} - 4q^{39} - 66q^{40} - 4q^{41} + 14q^{42} - 60q^{43} + 20q^{44} + 2q^{45} + 76q^{46} - 25q^{47} - 7q^{48} + 31q^{49} + 137q^{50} + 118q^{52} + 48q^{53} - q^{54} + 93q^{55} + 228q^{56} + 2q^{57} - 120q^{58} + 57q^{59} - 4q^{60} + 72q^{61} - 179q^{62} - 2q^{63} + 249q^{64} - 39q^{65} - 6q^{66} + 40q^{67} + 94q^{68} - 64q^{69} + 94q^{70} + 30q^{71} - 3q^{72} - 205q^{73} + 66q^{74} - q^{75} - 216q^{76} - 46q^{77} - 12q^{78} + 4q^{79} - 356q^{80} - 5q^{81} - 28q^{82} + 4q^{83} - 135q^{84} + 50q^{85} - 18q^{86} - 54q^{87} - 162q^{88} + 26q^{89} - 198q^{91} + 10q^{92} + 12q^{93} - 4q^{94} - 326q^{95} + 5q^{96} - 20q^{97} - 143q^{98} + 2q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{13}{29}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0772031 0.470918i −0.0545908 0.332989i −0.999975 0.00703195i \(-0.997762\pi\)
0.945384 0.325957i \(-0.105687\pi\)
\(3\) −0.267528 0.963550i −0.154458 0.556306i
\(4\) 1.67950 0.565890i 0.839751 0.282945i
\(5\) −0.369128 + 0.544423i −0.165079 + 0.243473i −0.901227 0.433347i \(-0.857332\pi\)
0.736148 + 0.676821i \(0.236643\pi\)
\(6\) −0.433099 + 0.200373i −0.176812 + 0.0818019i
\(7\) 3.18087 + 0.700162i 1.20225 + 0.264636i 0.770550 0.637379i \(-0.219981\pi\)
0.431704 + 0.902015i \(0.357912\pi\)
\(8\) −0.843204 1.59045i −0.298118 0.562310i
\(9\) −0.856857 + 0.515554i −0.285619 + 0.171851i
\(10\) 0.284876 + 0.131798i 0.0900858 + 0.0416781i
\(11\) −1.46239 1.11168i −0.440927 0.335184i 0.361042 0.932550i \(-0.382421\pi\)
−0.801969 + 0.597365i \(0.796214\pi\)
\(12\) −0.994578 1.46689i −0.287110 0.423456i
\(13\) −2.36213 1.42125i −0.655137 0.394183i 0.148825 0.988864i \(-0.452451\pi\)
−0.803962 + 0.594681i \(0.797278\pi\)
\(14\) 0.0841460 1.55198i 0.0224890 0.414785i
\(15\) 0.623331 + 0.210025i 0.160943 + 0.0542281i
\(16\) 2.13792 1.62520i 0.534480 0.406301i
\(17\) 4.71674 1.03823i 1.14398 0.251809i 0.397747 0.917495i \(-0.369792\pi\)
0.746232 + 0.665686i \(0.231861\pi\)
\(18\) 0.308936 + 0.363707i 0.0728168 + 0.0857266i
\(19\) −3.87004 0.420892i −0.887847 0.0965592i −0.347183 0.937798i \(-0.612862\pi\)
−0.540664 + 0.841238i \(0.681827\pi\)
\(20\) −0.311868 + 1.12325i −0.0697357 + 0.251165i
\(21\) −0.176331 3.25224i −0.0384786 0.709696i
\(22\) −0.410609 + 0.774492i −0.0875422 + 0.165122i
\(23\) −5.38869 + 6.34405i −1.12362 + 1.32283i −0.183097 + 0.983095i \(0.558612\pi\)
−0.940522 + 0.339732i \(0.889664\pi\)
\(24\) −1.30690 + 1.23796i −0.266770 + 0.252698i
\(25\) 1.69055 + 4.24296i 0.338110 + 0.848592i
\(26\) −0.486927 + 1.22209i −0.0954942 + 0.239672i
\(27\) 0.725995 + 0.687699i 0.139718 + 0.132348i
\(28\) 5.73849 0.624098i 1.08447 0.117943i
\(29\) 0.0667431 0.407115i 0.0123939 0.0755994i −0.979905 0.199463i \(-0.936080\pi\)
0.992299 + 0.123864i \(0.0395285\pi\)
\(30\) 0.0507813 0.309752i 0.00927136 0.0565528i
\(31\) 4.84278 0.526684i 0.869788 0.0945952i 0.337669 0.941265i \(-0.390361\pi\)
0.532119 + 0.846670i \(0.321396\pi\)
\(32\) −3.54419 3.35723i −0.626530 0.593481i
\(33\) −0.679929 + 1.70649i −0.118360 + 0.297062i
\(34\) −0.853071 2.14105i −0.146300 0.367186i
\(35\) −1.55533 + 1.47329i −0.262899 + 0.249031i
\(36\) −1.14735 + 1.35076i −0.191225 + 0.225127i
\(37\) −2.50140 + 4.71815i −0.411228 + 0.775659i −0.999454 0.0330379i \(-0.989482\pi\)
0.588226 + 0.808697i \(0.299827\pi\)
\(38\) 0.100573 + 1.85496i 0.0163151 + 0.300915i
\(39\) −0.737505 + 2.65625i −0.118095 + 0.425341i
\(40\) 1.17713 + 0.128020i 0.186120 + 0.0202418i
\(41\) 4.27135 + 5.02862i 0.667073 + 0.785338i 0.986760 0.162184i \(-0.0518539\pi\)
−0.319688 + 0.947523i \(0.603578\pi\)
\(42\) −1.51792 + 0.334120i −0.234221 + 0.0515559i
\(43\) −6.45524 + 4.90714i −0.984414 + 0.748332i −0.967849 0.251530i \(-0.919066\pi\)
−0.0165650 + 0.999863i \(0.505273\pi\)
\(44\) −3.08518 1.03952i −0.465108 0.156713i
\(45\) 0.0356105 0.656798i 0.00530851 0.0979096i
\(46\) 3.40355 + 2.04785i 0.501827 + 0.301939i
\(47\) −0.180009 0.265493i −0.0262570 0.0387261i 0.814334 0.580397i \(-0.197102\pi\)
−0.840591 + 0.541670i \(0.817792\pi\)
\(48\) −2.13792 1.62520i −0.308582 0.234578i
\(49\) 3.27466 + 1.51502i 0.467808 + 0.216431i
\(50\) 1.86757 1.12368i 0.264114 0.158912i
\(51\) −2.26225 4.26706i −0.316779 0.597508i
\(52\) −4.77147 1.05028i −0.661684 0.145648i
\(53\) −8.04672 + 3.72281i −1.10530 + 0.511367i −0.885717 0.464226i \(-0.846333\pi\)
−0.219585 + 0.975593i \(0.570470\pi\)
\(54\) 0.267801 0.394977i 0.0364431 0.0537496i
\(55\) 1.14503 0.385807i 0.154396 0.0520221i
\(56\) −1.56855 5.64939i −0.209606 0.754932i
\(57\) 0.629794 + 3.84157i 0.0834182 + 0.508829i
\(58\) −0.196871 −0.0258504
\(59\) 7.50370 1.64151i 0.976898 0.213706i
\(60\) 1.16574 0.150496
\(61\) 0.932486 + 5.68791i 0.119393 + 0.728262i 0.976885 + 0.213766i \(0.0685729\pi\)
−0.857492 + 0.514497i \(0.827979\pi\)
\(62\) −0.621902 2.23989i −0.0789817 0.284466i
\(63\) −3.08652 + 1.03997i −0.388865 + 0.131024i
\(64\) 1.70679 2.51733i 0.213349 0.314666i
\(65\) 1.64569 0.761376i 0.204122 0.0944370i
\(66\) 0.856111 + 0.188444i 0.105380 + 0.0231959i
\(67\) −3.98971 7.52539i −0.487420 0.919372i −0.998218 0.0596714i \(-0.980995\pi\)
0.510798 0.859701i \(-0.329350\pi\)
\(68\) 7.33426 4.41288i 0.889410 0.535140i
\(69\) 7.55444 + 3.49506i 0.909448 + 0.420755i
\(70\) 0.813874 + 0.618691i 0.0972765 + 0.0739477i
\(71\) −3.38098 4.98657i −0.401248 0.591797i 0.572366 0.819998i \(-0.306026\pi\)
−0.973614 + 0.228202i \(0.926715\pi\)
\(72\) 1.54247 + 0.928073i 0.181782 + 0.109374i
\(73\) −0.228524 + 4.21488i −0.0267467 + 0.493314i 0.954216 + 0.299118i \(0.0966925\pi\)
−0.980963 + 0.194196i \(0.937790\pi\)
\(74\) 2.41498 + 0.813701i 0.280735 + 0.0945908i
\(75\) 3.63603 2.76404i 0.419853 0.319164i
\(76\) −6.73791 + 1.48313i −0.772892 + 0.170126i
\(77\) −3.87331 4.56002i −0.441405 0.519662i
\(78\) 1.30782 + 0.142234i 0.148081 + 0.0161048i
\(79\) 4.10503 14.7850i 0.461852 1.66344i −0.255563 0.966792i \(-0.582261\pi\)
0.717415 0.696647i \(-0.245325\pi\)
\(80\) 0.0956326 + 1.76384i 0.0106920 + 0.197203i
\(81\) 0.468408 0.883512i 0.0520454 0.0981680i
\(82\) 2.03831 2.39968i 0.225093 0.265000i
\(83\) 11.6148 11.0021i 1.27489 1.20764i 0.308307 0.951287i \(-0.400238\pi\)
0.966583 0.256353i \(-0.0825211\pi\)
\(84\) −2.13656 5.36236i −0.233118 0.585081i
\(85\) −1.17584 + 2.95114i −0.127538 + 0.320097i
\(86\) 2.80923 + 2.66104i 0.302927 + 0.286947i
\(87\) −0.410131 + 0.0446045i −0.0439707 + 0.00478210i
\(88\) −0.534980 + 3.26324i −0.0570291 + 0.347862i
\(89\) −1.37824 + 8.40688i −0.146093 + 0.891128i 0.807464 + 0.589916i \(0.200839\pi\)
−0.953557 + 0.301211i \(0.902609\pi\)
\(90\) −0.312047 + 0.0339372i −0.0328927 + 0.00357729i
\(91\) −6.51852 6.17467i −0.683326 0.647281i
\(92\) −5.46028 + 13.7043i −0.569273 + 1.42877i
\(93\) −1.80307 4.52535i −0.186969 0.469257i
\(94\) −0.111128 + 0.105266i −0.0114620 + 0.0108574i
\(95\) 1.65768 1.95157i 0.170074 0.200227i
\(96\) −2.28669 + 4.31316i −0.233385 + 0.440210i
\(97\) −0.182683 3.36938i −0.0185486 0.342109i −0.993047 0.117716i \(-0.962443\pi\)
0.974499 0.224393i \(-0.0720399\pi\)
\(98\) 0.460636 1.65906i 0.0465312 0.167590i
\(99\) 1.82619 + 0.198610i 0.183539 + 0.0199611i
\(100\) 5.24033 + 6.16940i 0.524033 + 0.616940i
\(101\) 4.90862 1.08047i 0.488426 0.107511i 0.0360720 0.999349i \(-0.488515\pi\)
0.452354 + 0.891839i \(0.350584\pi\)
\(102\) −1.83478 + 1.39477i −0.181671 + 0.138102i
\(103\) −16.1761 5.45037i −1.59388 0.537041i −0.624168 0.781290i \(-0.714562\pi\)
−0.969713 + 0.244249i \(0.921459\pi\)
\(104\) −0.268666 + 4.95526i −0.0263449 + 0.485903i
\(105\) 1.83568 + 1.10449i 0.179144 + 0.107787i
\(106\) 2.37437 + 3.50193i 0.230619 + 0.340138i
\(107\) −4.42856 3.36650i −0.428125 0.325452i 0.368823 0.929499i \(-0.379761\pi\)
−0.796948 + 0.604047i \(0.793554\pi\)
\(108\) 1.60847 + 0.744159i 0.154775 + 0.0716068i
\(109\) 0.0451998 0.0271958i 0.00432936 0.00260489i −0.513388 0.858157i \(-0.671610\pi\)
0.517717 + 0.855552i \(0.326782\pi\)
\(110\) −0.270083 0.509431i −0.0257514 0.0485724i
\(111\) 5.21537 + 1.14799i 0.495021 + 0.108962i
\(112\) 7.93834 3.67267i 0.750102 0.347034i
\(113\) 0.192178 0.283441i 0.0180785 0.0266639i −0.818542 0.574446i \(-0.805217\pi\)
0.836621 + 0.547782i \(0.184528\pi\)
\(114\) 1.76044 0.593163i 0.164881 0.0555548i
\(115\) −1.46473 5.27549i −0.136587 0.491942i
\(116\) −0.118287 0.721520i −0.0109827 0.0669915i
\(117\) 2.75674 0.254860
\(118\) −1.35232 3.40690i −0.124492 0.313630i
\(119\) 15.7303 1.44199
\(120\) −0.191561 1.16847i −0.0174871 0.106666i
\(121\) −2.04006 7.34763i −0.185460 0.667966i
\(122\) 2.60655 0.878249i 0.235986 0.0795129i
\(123\) 3.70262 5.46096i 0.333854 0.492398i
\(124\) 7.83541 3.62505i 0.703641 0.325539i
\(125\) −6.14591 1.35282i −0.549707 0.121000i
\(126\) 0.728029 + 1.37321i 0.0648580 + 0.122335i
\(127\) −13.3230 + 8.01620i −1.18223 + 0.711323i −0.964344 0.264652i \(-0.914743\pi\)
−0.217883 + 0.975975i \(0.569915\pi\)
\(128\) −10.1785 4.70907i −0.899660 0.416227i
\(129\) 6.45524 + 4.90714i 0.568352 + 0.432050i
\(130\) −0.485598 0.716203i −0.0425897 0.0628152i
\(131\) 1.08751 + 0.654331i 0.0950159 + 0.0571692i 0.562269 0.826955i \(-0.309929\pi\)
−0.467253 + 0.884124i \(0.654756\pi\)
\(132\) −0.176255 + 3.25082i −0.0153410 + 0.282948i
\(133\) −12.0154 4.04845i −1.04187 0.351045i
\(134\) −3.23582 + 2.45981i −0.279533 + 0.212495i
\(135\) −0.642384 + 0.141399i −0.0552876 + 0.0121697i
\(136\) −5.62844 6.62631i −0.482635 0.568202i
\(137\) 17.2344 + 1.87435i 1.47243 + 0.160137i 0.808871 0.587986i \(-0.200079\pi\)
0.663560 + 0.748123i \(0.269045\pi\)
\(138\) 1.06266 3.82735i 0.0904596 0.325806i
\(139\) −0.00450326 0.0830577i −0.000381961 0.00704486i 0.998336 0.0576610i \(-0.0183643\pi\)
−0.998718 + 0.0506161i \(0.983881\pi\)
\(140\) −1.77846 + 3.35454i −0.150307 + 0.283510i
\(141\) −0.207658 + 0.244474i −0.0174880 + 0.0205884i
\(142\) −2.08724 + 1.97714i −0.175158 + 0.165918i
\(143\) 1.87438 + 4.70435i 0.156744 + 0.393398i
\(144\) −0.994011 + 2.49478i −0.0828342 + 0.207898i
\(145\) 0.197006 + 0.186614i 0.0163605 + 0.0154974i
\(146\) 2.00251 0.217786i 0.165729 0.0180241i
\(147\) 0.583732 3.56061i 0.0481454 0.293674i
\(148\) −1.53116 + 9.33966i −0.125861 + 0.767716i
\(149\) 7.86440 0.855305i 0.644276 0.0700693i 0.219853 0.975533i \(-0.429442\pi\)
0.424424 + 0.905464i \(0.360477\pi\)
\(150\) −1.58235 1.49888i −0.129198 0.122383i
\(151\) −3.20639 + 8.04744i −0.260933 + 0.654892i −0.999821 0.0189367i \(-0.993972\pi\)
0.738888 + 0.673828i \(0.235351\pi\)
\(152\) 2.59382 + 6.51000i 0.210387 + 0.528031i
\(153\) −3.50631 + 3.32135i −0.283468 + 0.268516i
\(154\) −1.84836 + 2.17606i −0.148945 + 0.175352i
\(155\) −1.50086 + 2.83093i −0.120552 + 0.227386i
\(156\) 0.264506 + 4.87853i 0.0211775 + 0.390595i
\(157\) 0.121452 0.437429i 0.00969289 0.0349107i −0.958545 0.284940i \(-0.908026\pi\)
0.968238 + 0.250029i \(0.0804402\pi\)
\(158\) −7.27943 0.791686i −0.579120 0.0629831i
\(159\) 5.73984 + 6.75746i 0.455199 + 0.535901i
\(160\) 3.13601 0.690289i 0.247924 0.0545721i
\(161\) −21.5826 + 16.4066i −1.70094 + 1.29302i
\(162\) −0.452224 0.152372i −0.0355301 0.0119715i
\(163\) −0.608169 + 11.2170i −0.0476355 + 0.878585i 0.872894 + 0.487911i \(0.162241\pi\)
−0.920529 + 0.390674i \(0.872242\pi\)
\(164\) 10.0194 + 6.02847i 0.782383 + 0.470744i
\(165\) −0.678073 1.00008i −0.0527879 0.0778563i
\(166\) −6.07780 4.62022i −0.471729 0.358599i
\(167\) −6.82015 3.15534i −0.527759 0.244167i 0.137870 0.990450i \(-0.455975\pi\)
−0.665629 + 0.746283i \(0.731837\pi\)
\(168\) −5.02384 + 3.02275i −0.387598 + 0.233210i
\(169\) −2.52959 4.77132i −0.194584 0.367024i
\(170\) 1.48053 + 0.325888i 0.113551 + 0.0249945i
\(171\) 3.53306 1.63457i 0.270180 0.124999i
\(172\) −8.06468 + 11.8945i −0.614926 + 0.906948i
\(173\) 0.930473 0.313513i 0.0707426 0.0238359i −0.283708 0.958911i \(-0.591565\pi\)
0.354450 + 0.935075i \(0.384668\pi\)
\(174\) 0.0526685 + 0.189695i 0.00399279 + 0.0143807i
\(175\) 2.40666 + 14.6799i 0.181926 + 1.10970i
\(176\) −4.93318 −0.371852
\(177\) −3.58913 6.79104i −0.269775 0.510446i
\(178\) 4.06536 0.304711
\(179\) −0.863951 5.26987i −0.0645748 0.393889i −0.999262 0.0384169i \(-0.987769\pi\)
0.934687 0.355472i \(-0.115680\pi\)
\(180\) −0.311868 1.12325i −0.0232452 0.0837218i
\(181\) 2.81257 0.947665i 0.209057 0.0704394i −0.212825 0.977090i \(-0.568266\pi\)
0.421881 + 0.906651i \(0.361370\pi\)
\(182\) −2.40451 + 3.54639i −0.178234 + 0.262876i
\(183\) 5.23112 2.42017i 0.386696 0.178904i
\(184\) 14.6337 + 3.22112i 1.07881 + 0.237464i
\(185\) −1.64533 3.10342i −0.120967 0.228168i
\(186\) −1.99187 + 1.19847i −0.146051 + 0.0878759i
\(187\) −8.05191 3.72521i −0.588814 0.272414i
\(188\) −0.452565 0.344031i −0.0330067 0.0250910i
\(189\) 1.82779 + 2.69579i 0.132952 + 0.196090i
\(190\) −1.04701 0.629964i −0.0759580 0.0457024i
\(191\) 1.41730 26.1406i 0.102552 1.89147i −0.269126 0.963105i \(-0.586735\pi\)
0.371678 0.928362i \(-0.378783\pi\)
\(192\) −2.88218 0.971121i −0.208004 0.0700846i
\(193\) 0.795059 0.604388i 0.0572296 0.0435048i −0.576168 0.817331i \(-0.695453\pi\)
0.633398 + 0.773826i \(0.281660\pi\)
\(194\) −1.57260 + 0.346155i −0.112906 + 0.0248525i
\(195\) −1.17389 1.38201i −0.0840641 0.0989679i
\(196\) 6.35713 + 0.691379i 0.454081 + 0.0493842i
\(197\) −5.58508 + 20.1156i −0.397921 + 1.43318i 0.445188 + 0.895437i \(0.353137\pi\)
−0.843109 + 0.537743i \(0.819277\pi\)
\(198\) −0.0474585 0.875320i −0.00337273 0.0622063i
\(199\) 7.92135 14.9412i 0.561529 1.05916i −0.426441 0.904515i \(-0.640233\pi\)
0.987971 0.154642i \(-0.0494223\pi\)
\(200\) 5.32275 6.26642i 0.376375 0.443103i
\(201\) −6.18373 + 5.85754i −0.436166 + 0.413159i
\(202\) −0.887773 2.22814i −0.0624635 0.156772i
\(203\) 0.497347 1.24825i 0.0349069 0.0876098i
\(204\) −6.21415 5.88636i −0.435078 0.412127i
\(205\) −4.31437 + 0.469216i −0.301329 + 0.0327715i
\(206\) −1.31783 + 8.03842i −0.0918177 + 0.560063i
\(207\) 1.34663 8.21411i 0.0935976 0.570920i
\(208\) −7.35986 + 0.800432i −0.510314 + 0.0555000i
\(209\) 5.19161 + 4.91775i 0.359111 + 0.340168i
\(210\) 0.378405 0.949725i 0.0261124 0.0655373i
\(211\) 2.05999 + 5.17018i 0.141815 + 0.355930i 0.982679 0.185318i \(-0.0593314\pi\)
−0.840863 + 0.541248i \(0.817952\pi\)
\(212\) −11.4078 + 10.8060i −0.783490 + 0.742161i
\(213\) −3.90030 + 4.59179i −0.267244 + 0.314624i
\(214\) −1.24345 + 2.34539i −0.0850004 + 0.160328i
\(215\) −0.288753 5.32574i −0.0196928 0.363212i
\(216\) 0.481590 1.73453i 0.0327681 0.118020i
\(217\) 15.7730 + 1.71542i 1.07074 + 0.116450i
\(218\) −0.0162966 0.0191858i −0.00110374 0.00129943i
\(219\) 4.12238 0.907405i 0.278565 0.0613167i
\(220\) 1.70476 1.29593i 0.114935 0.0873713i
\(221\) −12.6172 4.25121i −0.848721 0.285968i
\(222\) 0.137966 2.54464i 0.00925970 0.170785i
\(223\) 3.78354 + 2.27648i 0.253364 + 0.152444i 0.636570 0.771219i \(-0.280352\pi\)
−0.383206 + 0.923663i \(0.625180\pi\)
\(224\) −8.92299 13.1604i −0.596192 0.879318i
\(225\) −3.63603 2.76404i −0.242402 0.184269i
\(226\) −0.148314 0.0686174i −0.00986571 0.00456436i
\(227\) 25.5385 15.3660i 1.69505 1.01988i 0.771646 0.636052i \(-0.219434\pi\)
0.923405 0.383827i \(-0.125394\pi\)
\(228\) 3.23165 + 6.09554i 0.214021 + 0.403687i
\(229\) 26.5082 + 5.83490i 1.75171 + 0.385581i 0.970957 0.239255i \(-0.0769032\pi\)
0.780756 + 0.624836i \(0.214834\pi\)
\(230\) −2.37124 + 1.09705i −0.156355 + 0.0723376i
\(231\) −3.35758 + 4.95206i −0.220913 + 0.325822i
\(232\) −0.703775 + 0.237129i −0.0462051 + 0.0155683i
\(233\) −2.81358 10.1336i −0.184324 0.663875i −0.996732 0.0807851i \(-0.974257\pi\)
0.812408 0.583090i \(-0.198157\pi\)
\(234\) −0.212829 1.29820i −0.0139130 0.0848658i
\(235\) 0.210987 0.0137632
\(236\) 11.6736 7.00318i 0.759884 0.455868i
\(237\) −15.3443 −0.996717
\(238\) −1.21443 7.40767i −0.0787195 0.480168i
\(239\) 5.99388 + 21.5880i 0.387712 + 1.39641i 0.857887 + 0.513838i \(0.171777\pi\)
−0.470176 + 0.882573i \(0.655809\pi\)
\(240\) 1.67396 0.564024i 0.108054 0.0364076i
\(241\) 16.9204 24.9557i 1.08994 1.60754i 0.347419 0.937710i \(-0.387058\pi\)
0.742518 0.669827i \(-0.233632\pi\)
\(242\) −3.30263 + 1.52796i −0.212301 + 0.0982210i
\(243\) −0.976621 0.214970i −0.0626502 0.0137904i
\(244\) 4.78485 + 9.02518i 0.306318 + 0.577778i
\(245\) −2.03358 + 1.22356i −0.129920 + 0.0781705i
\(246\) −2.85752 1.32203i −0.182189 0.0842894i
\(247\) 8.54334 + 6.49448i 0.543599 + 0.413234i
\(248\) −4.92112 7.25810i −0.312491 0.460890i
\(249\) −13.7084 8.24806i −0.868734 0.522700i
\(250\) −0.162583 + 2.99866i −0.0102826 + 0.189652i
\(251\) −28.4901 9.59943i −1.79828 0.605910i −0.999993 0.00362979i \(-0.998845\pi\)
−0.798284 0.602281i \(-0.794259\pi\)
\(252\) −4.59531 + 3.49326i −0.289477 + 0.220055i
\(253\) 14.9329 3.28699i 0.938825 0.206651i
\(254\) 4.80355 + 5.65518i 0.301402 + 0.354838i
\(255\) 3.15815 + 0.343469i 0.197771 + 0.0215089i
\(256\) 0.195541 0.704276i 0.0122213 0.0440172i
\(257\) −1.51130 27.8743i −0.0942725 1.73875i −0.538311 0.842746i \(-0.680937\pi\)
0.444039 0.896008i \(-0.353545\pi\)
\(258\) 1.81250 3.41874i 0.112841 0.212841i
\(259\) −11.2601 + 13.2564i −0.699668 + 0.823713i
\(260\) 2.33308 2.21001i 0.144691 0.137059i
\(261\) 0.152700 + 0.383249i 0.00945192 + 0.0237225i
\(262\) 0.224178 0.562643i 0.0138497 0.0347602i
\(263\) 10.5059 + 9.95171i 0.647821 + 0.613649i 0.939369 0.342907i \(-0.111412\pi\)
−0.291548 + 0.956556i \(0.594170\pi\)
\(264\) 3.28741 0.357528i 0.202326 0.0220043i
\(265\) 0.943486 5.75501i 0.0579579 0.353527i
\(266\) −0.978865 + 5.97081i −0.0600180 + 0.366094i
\(267\) 8.46917 0.921078i 0.518305 0.0563690i
\(268\) −10.9593 10.3812i −0.669444 0.634131i
\(269\) 4.49237 11.2750i 0.273905 0.687450i −0.726095 0.687594i \(-0.758667\pi\)
1.00000 0.000144796i \(4.60899e-5\pi\)
\(270\) 0.116182 + 0.291594i 0.00707059 + 0.0177458i
\(271\) −2.19757 + 2.08165i −0.133493 + 0.126451i −0.751533 0.659695i \(-0.770685\pi\)
0.618041 + 0.786146i \(0.287927\pi\)
\(272\) 8.39667 9.88533i 0.509123 0.599386i
\(273\) −4.20571 + 7.93282i −0.254541 + 0.480116i
\(274\) −0.447881 8.26068i −0.0270575 0.499046i
\(275\) 2.24457 8.08422i 0.135353 0.487497i
\(276\) 14.6655 + 1.59497i 0.882761 + 0.0960060i
\(277\) 9.18669 + 10.8154i 0.551975 + 0.649835i 0.965422 0.260693i \(-0.0839511\pi\)
−0.413447 + 0.910528i \(0.635675\pi\)
\(278\) −0.0387657 + 0.00853298i −0.00232501 + 0.000511774i
\(279\) −3.87803 + 2.94801i −0.232172 + 0.176492i
\(280\) 3.65465 + 1.23140i 0.218407 + 0.0735900i
\(281\) −0.783700 + 14.4545i −0.0467516 + 0.862283i 0.877283 + 0.479974i \(0.159354\pi\)
−0.924034 + 0.382309i \(0.875129\pi\)
\(282\) 0.131159 + 0.0789159i 0.00781042 + 0.00469937i
\(283\) −14.8060 21.8373i −0.880128 1.29809i −0.953687 0.300801i \(-0.902746\pi\)
0.0735592 0.997291i \(-0.476564\pi\)
\(284\) −8.50021 6.46169i −0.504395 0.383431i
\(285\) −2.32391 1.07516i −0.137657 0.0636868i
\(286\) 2.07066 1.24587i 0.122440 0.0736700i
\(287\) 10.0657 + 18.9860i 0.594162 + 1.12071i
\(288\) 4.76770 + 1.04945i 0.280939 + 0.0618394i
\(289\) 5.74097 2.65606i 0.337704 0.156239i
\(290\) 0.0726704 0.107181i 0.00426735 0.00629388i
\(291\) −3.19769 + 1.07743i −0.187452 + 0.0631600i
\(292\) 2.00135 + 7.20822i 0.117120 + 0.421829i
\(293\) 1.91103 + 11.6567i 0.111643 + 0.680994i 0.982044 + 0.188651i \(0.0604113\pi\)
−0.870401 + 0.492344i \(0.836140\pi\)
\(294\) −1.72182 −0.100419
\(295\) −1.87615 + 4.69111i −0.109234 + 0.273127i
\(296\) 9.61318 0.558755
\(297\) −0.297187 1.81276i −0.0172445 0.105187i
\(298\) −1.00993 3.63745i −0.0585039 0.210712i
\(299\) 21.7452 7.32683i 1.25756 0.423721i
\(300\) 4.54259 6.69981i 0.262266 0.386814i
\(301\) −23.9690 + 11.0893i −1.38155 + 0.639174i
\(302\) 4.03723 + 0.888662i 0.232316 + 0.0511367i
\(303\) −2.35428 4.44064i −0.135250 0.255108i
\(304\) −8.95785 + 5.38976i −0.513768 + 0.309124i
\(305\) −3.44083 1.59190i −0.197022 0.0911519i
\(306\) 1.83478 + 1.39477i 0.104888 + 0.0797335i
\(307\) 11.2577 + 16.6038i 0.642510 + 0.947631i 0.999906 + 0.0136781i \(0.00435401\pi\)
−0.357397 + 0.933953i \(0.616336\pi\)
\(308\) −9.08571 5.46669i −0.517706 0.311494i
\(309\) −0.924133 + 17.0446i −0.0525721 + 0.969635i
\(310\) 1.44901 + 0.488228i 0.0822981 + 0.0277295i
\(311\) −14.4203 + 10.9620i −0.817698 + 0.621598i −0.928118 0.372287i \(-0.878574\pi\)
0.110420 + 0.993885i \(0.464781\pi\)
\(312\) 4.84651 1.06680i 0.274380 0.0603955i
\(313\) 10.9473 + 12.8881i 0.618776 + 0.728479i 0.978881 0.204433i \(-0.0655349\pi\)
−0.360105 + 0.932912i \(0.617259\pi\)
\(314\) −0.215370 0.0234229i −0.0121540 0.00132183i
\(315\) 0.573137 2.06425i 0.0322926 0.116307i
\(316\) −1.47227 27.1544i −0.0828216 1.52755i
\(317\) 0.799733 1.50846i 0.0449175 0.0847233i −0.860037 0.510231i \(-0.829560\pi\)
0.904955 + 0.425508i \(0.139905\pi\)
\(318\) 2.73908 3.22469i 0.153600 0.180832i
\(319\) −0.550186 + 0.521164i −0.0308045 + 0.0291796i
\(320\) 0.740466 + 1.85843i 0.0413933 + 0.103889i
\(321\) −2.05903 + 5.16777i −0.114924 + 0.288437i
\(322\) 9.39242 + 8.89698i 0.523419 + 0.495809i
\(323\) −18.6910 + 2.03276i −1.03999 + 0.113106i
\(324\) 0.286722 1.74893i 0.0159290 0.0971627i
\(325\) 2.03699 12.4251i 0.112992 0.689221i
\(326\) 5.32925 0.579591i 0.295160 0.0321006i
\(327\) −0.0382968 0.0362766i −0.00211782 0.00200610i
\(328\) 4.39616 11.0335i 0.242737 0.609225i
\(329\) −0.386695 0.970532i −0.0213192 0.0535072i
\(330\) −0.418608 + 0.396526i −0.0230436 + 0.0218281i
\(331\) 4.99052 5.87530i 0.274304 0.322936i −0.607710 0.794159i \(-0.707912\pi\)
0.882014 + 0.471223i \(0.156187\pi\)
\(332\) 13.2811 25.0508i 0.728895 1.37484i
\(333\) −0.289114 5.33239i −0.0158433 0.292213i
\(334\) −0.959369 + 3.45534i −0.0524944 + 0.189068i
\(335\) 5.56970 + 0.605742i 0.304305 + 0.0330952i
\(336\) −5.66253 6.66644i −0.308916 0.363684i
\(337\) 14.4394 3.17835i 0.786565 0.173136i 0.196513 0.980501i \(-0.437038\pi\)
0.590052 + 0.807365i \(0.299107\pi\)
\(338\) −2.05161 + 1.55959i −0.111593 + 0.0848306i
\(339\) −0.324522 0.109344i −0.0176256 0.00593877i
\(340\) −0.304808 + 5.62185i −0.0165305 + 0.304888i
\(341\) −7.66754 4.61340i −0.415220 0.249830i
\(342\) −1.04251 1.53759i −0.0563725 0.0831433i
\(343\) −8.79471 6.68557i −0.474870 0.360987i
\(344\) 13.2477 + 6.12902i 0.714266 + 0.330455i
\(345\) −4.69134 + 2.82269i −0.252573 + 0.151968i
\(346\) −0.219474 0.413973i −0.0117990 0.0222553i
\(347\) −32.4600 7.14500i −1.74255 0.383563i −0.774154 0.632997i \(-0.781825\pi\)
−0.968392 + 0.249433i \(0.919756\pi\)
\(348\) −0.663575 + 0.307003i −0.0355714 + 0.0164571i
\(349\) −8.84541 + 13.0460i −0.473484 + 0.698337i −0.987176 0.159638i \(-0.948967\pi\)
0.513692 + 0.857975i \(0.328278\pi\)
\(350\) 6.72725 2.26668i 0.359587 0.121159i
\(351\) −0.737505 2.65625i −0.0393651 0.141780i
\(352\) 1.45082 + 8.84959i 0.0773288 + 0.471685i
\(353\) −30.0528 −1.59955 −0.799775 0.600299i \(-0.795048\pi\)
−0.799775 + 0.600299i \(0.795048\pi\)
\(354\) −2.92093 + 2.21447i −0.155246 + 0.117698i
\(355\) 3.96281 0.210324
\(356\) 2.44262 + 14.8993i 0.129459 + 0.789662i
\(357\) −4.20829 15.1569i −0.222726 0.802188i
\(358\) −2.41498 + 0.813701i −0.127636 + 0.0430054i
\(359\) 1.17155 1.72790i 0.0618320 0.0911953i −0.795516 0.605932i \(-0.792800\pi\)
0.857348 + 0.514737i \(0.172110\pi\)
\(360\) −1.07463 + 0.497178i −0.0566381 + 0.0262036i
\(361\) −3.75576 0.826706i −0.197672 0.0435109i
\(362\) −0.663412 1.25133i −0.0348681 0.0657683i
\(363\) −6.53403 + 3.93140i −0.342948 + 0.206345i
\(364\) −14.4421 6.68161i −0.756969 0.350211i
\(365\) −2.21032 1.68024i −0.115693 0.0879479i
\(366\) −1.54356 2.27658i −0.0806833 0.118999i
\(367\) 28.7287 + 17.2855i 1.49963 + 0.902295i 0.999336 + 0.0364362i \(0.0116006\pi\)
0.500289 + 0.865858i \(0.333227\pi\)
\(368\) −1.21020 + 22.3208i −0.0630859 + 1.16355i
\(369\) −6.25246 2.10670i −0.325490 0.109670i
\(370\) −1.33443 + 1.01441i −0.0693738 + 0.0527366i
\(371\) −28.2021 + 6.20775i −1.46418 + 0.322291i
\(372\) −5.58911 6.58001i −0.289782 0.341158i
\(373\) 31.7739 + 3.45562i 1.64519 + 0.178925i 0.883309 0.468792i \(-0.155311\pi\)
0.761881 + 0.647717i \(0.224276\pi\)
\(374\) −1.13264 + 4.07939i −0.0585672 + 0.210940i
\(375\) 0.340698 + 6.28381i 0.0175936 + 0.324495i
\(376\) −0.270470 + 0.510160i −0.0139484 + 0.0263095i
\(377\) −0.736267 + 0.866800i −0.0379197 + 0.0446425i
\(378\) 1.12839 1.06887i 0.0580380 0.0549765i
\(379\) −8.88523 22.3002i −0.456404 1.14549i −0.959613 0.281322i \(-0.909227\pi\)
0.503210 0.864164i \(-0.332152\pi\)
\(380\) 1.67970 4.21574i 0.0861669 0.216263i
\(381\) 11.2883 + 10.6928i 0.578317 + 0.547811i
\(382\) −12.4195 + 1.35070i −0.635437 + 0.0691079i
\(383\) −1.97449 + 12.0439i −0.100892 + 0.615413i 0.887181 + 0.461422i \(0.152661\pi\)
−0.988072 + 0.153990i \(0.950788\pi\)
\(384\) −1.81439 + 11.0673i −0.0925902 + 0.564775i
\(385\) 3.91232 0.425491i 0.199390 0.0216850i
\(386\) −0.345998 0.327747i −0.0176109 0.0166819i
\(387\) 3.00132 7.53274i 0.152566 0.382911i
\(388\) −2.21352 5.55551i −0.112374 0.282038i
\(389\) −24.4851 + 23.1936i −1.24145 + 1.17596i −0.264057 + 0.964507i \(0.585061\pi\)
−0.977388 + 0.211453i \(0.932181\pi\)
\(390\) −0.560186 + 0.659502i −0.0283661 + 0.0333952i
\(391\) −18.8305 + 35.5180i −0.952297 + 1.79622i
\(392\) −0.351642 6.48565i −0.0177606 0.327575i
\(393\) 0.339542 1.22292i 0.0171276 0.0616881i
\(394\) 9.90401 + 1.07713i 0.498957 + 0.0542648i
\(395\) 6.53399 + 7.69241i 0.328761 + 0.387047i
\(396\) 3.17948 0.699857i 0.159775 0.0351692i
\(397\) −10.1709 + 7.73172i −0.510463 + 0.388044i −0.828460 0.560048i \(-0.810783\pi\)
0.317997 + 0.948092i \(0.396990\pi\)
\(398\) −7.64766 2.57680i −0.383342 0.129163i
\(399\) −0.686432 + 12.6605i −0.0343646 + 0.633817i
\(400\) 10.5099 + 6.32362i 0.525497 + 0.316181i
\(401\) 1.31503 + 1.93952i 0.0656694 + 0.0968551i 0.859106 0.511798i \(-0.171020\pi\)
−0.793436 + 0.608653i \(0.791710\pi\)
\(402\) 3.23582 + 2.45981i 0.161388 + 0.122684i
\(403\) −12.1878 5.63868i −0.607118 0.280883i
\(404\) 7.63261 4.59239i 0.379737 0.228480i
\(405\) 0.308101 + 0.581141i 0.0153097 + 0.0288771i
\(406\) −0.626219 0.137841i −0.0310787 0.00684095i
\(407\) 8.90310 4.11901i 0.441310 0.204172i
\(408\) −4.87902 + 7.19601i −0.241547 + 0.356256i
\(409\) −6.18426 + 2.08372i −0.305792 + 0.103033i −0.468014 0.883721i \(-0.655030\pi\)
0.162222 + 0.986754i \(0.448134\pi\)
\(410\) 0.554045 + 1.99549i 0.0273623 + 0.0985502i
\(411\) −2.80465 17.1076i −0.138343 0.843856i
\(412\) −30.2522 −1.49042
\(413\) 25.0176 + 0.0323859i 1.23103 + 0.00159360i
\(414\) −3.97214 −0.195220
\(415\) 1.70246 + 10.3846i 0.0835705 + 0.509758i
\(416\) 3.60038 + 12.9674i 0.176523 + 0.635779i
\(417\) −0.0788255 + 0.0265594i −0.00386010 + 0.00130062i
\(418\) 1.91505 2.82449i 0.0936682 0.138150i
\(419\) 3.15364 1.45903i 0.154065 0.0712783i −0.341341 0.939939i \(-0.610881\pi\)
0.495407 + 0.868661i \(0.335019\pi\)
\(420\) 3.70805 + 0.816204i 0.180934 + 0.0398267i
\(421\) −6.98275 13.1709i −0.340318 0.641908i 0.652995 0.757363i \(-0.273512\pi\)
−0.993313 + 0.115454i \(0.963168\pi\)
\(422\) 2.27569 1.36924i 0.110779 0.0666536i
\(423\) 0.291118 + 0.134685i 0.0141546 + 0.00654862i
\(424\) 12.7060 + 9.65883i 0.617057 + 0.469074i
\(425\) 12.3791 + 18.2578i 0.600474 + 0.885632i
\(426\) 2.46347 + 1.48222i 0.119356 + 0.0718139i
\(427\) −1.01634 + 18.7454i −0.0491844 + 0.907152i
\(428\) −9.34285 3.14797i −0.451604 0.152163i
\(429\) 4.03143 3.06461i 0.194639 0.147961i
\(430\) −2.48570 + 0.547143i −0.119871 + 0.0263856i
\(431\) 16.6072 + 19.5516i 0.799943 + 0.941765i 0.999271 0.0381674i \(-0.0121520\pi\)
−0.199329 + 0.979933i \(0.563876\pi\)
\(432\) 2.66977 + 0.290355i 0.128449 + 0.0139697i
\(433\) −5.43651 + 19.5805i −0.261262 + 0.940980i 0.710242 + 0.703957i \(0.248585\pi\)
−0.971504 + 0.237023i \(0.923828\pi\)
\(434\) −0.409903 7.56022i −0.0196760 0.362902i
\(435\) 0.127107 0.239750i 0.00609432 0.0114951i
\(436\) 0.0605234 0.0712536i 0.00289854 0.00341243i
\(437\) 23.5246 22.2837i 1.12533 1.06597i
\(438\) −0.745574 1.87125i −0.0356249 0.0894118i
\(439\) 9.86074 24.7486i 0.470627 1.18119i −0.481762 0.876302i \(-0.660003\pi\)
0.952390 0.304884i \(-0.0986176\pi\)
\(440\) −1.57910 1.49581i −0.0752808 0.0713098i
\(441\) −3.58699 + 0.390108i −0.170809 + 0.0185766i
\(442\) −1.02789 + 6.26985i −0.0488918 + 0.298226i
\(443\) 3.39743 20.7234i 0.161417 0.984598i −0.774551 0.632511i \(-0.782024\pi\)
0.935968 0.352086i \(-0.114528\pi\)
\(444\) 9.40886 1.02328i 0.446525 0.0485625i
\(445\) −4.06815 3.85356i −0.192849 0.182676i
\(446\) 0.779934 1.95749i 0.0369310 0.0926897i
\(447\) −2.92808 7.34892i −0.138493 0.347592i
\(448\) 7.19161 6.81225i 0.339771 0.321849i
\(449\) −13.4009 + 15.7768i −0.632428 + 0.744552i −0.981272 0.192629i \(-0.938299\pi\)
0.348844 + 0.937181i \(0.386574\pi\)
\(450\) −1.02092 + 1.92567i −0.0481268 + 0.0907768i
\(451\) −0.656161 12.1022i −0.0308974 0.569869i
\(452\) 0.162366 0.584791i 0.00763707 0.0275063i
\(453\) 8.61191 + 0.936602i 0.404623 + 0.0440054i
\(454\) −9.20779 10.8403i −0.432143 0.508758i
\(455\) 5.76780 1.26959i 0.270398 0.0595192i
\(456\) 5.57879 4.24089i 0.261251 0.198598i
\(457\) 9.11850 + 3.07238i 0.426545 + 0.143720i 0.524383 0.851483i \(-0.324296\pi\)
−0.0978377 + 0.995202i \(0.531193\pi\)
\(458\) 0.701244 12.9337i 0.0327670 0.604351i
\(459\) 4.13833 + 2.48995i 0.193161 + 0.116221i
\(460\) −5.44537 8.03132i −0.253892 0.374462i
\(461\) 7.34555 + 5.58394i 0.342116 + 0.260070i 0.762097 0.647463i \(-0.224170\pi\)
−0.419980 + 0.907533i \(0.637963\pi\)
\(462\) 2.59123 + 1.19883i 0.120555 + 0.0557747i
\(463\) −22.8380 + 13.7411i −1.06137 + 0.638605i −0.935459 0.353436i \(-0.885013\pi\)
−0.125911 + 0.992041i \(0.540186\pi\)
\(464\) −0.518953 0.978850i −0.0240918 0.0454420i
\(465\) 3.12927 + 0.688804i 0.145116 + 0.0319425i
\(466\) −4.55489 + 2.10731i −0.211001 + 0.0976195i
\(467\) −14.0291 + 20.6914i −0.649190 + 0.957484i 0.350590 + 0.936529i \(0.385981\pi\)
−0.999780 + 0.0209547i \(0.993329\pi\)
\(468\) 4.62995 1.56001i 0.214019 0.0721115i
\(469\) −7.42174 26.7307i −0.342704 1.23431i
\(470\) −0.0162888 0.0993574i −0.000751347 0.00458301i
\(471\) −0.453977 −0.0209181
\(472\) −8.93789 10.5501i −0.411400 0.485610i
\(473\) 14.8953 0.684884
\(474\) 1.18463 + 7.22589i 0.0544116 + 0.331896i
\(475\) −4.75666 17.1319i −0.218251 0.786068i
\(476\) 26.4190 8.90161i 1.21091 0.408004i
\(477\) 4.97558 7.33843i 0.227816 0.336004i
\(478\) 9.70343 4.48929i 0.443825 0.205335i
\(479\) 15.9973 + 3.52127i 0.730935 + 0.160891i 0.564819 0.825215i \(-0.308946\pi\)
0.166117 + 0.986106i \(0.446877\pi\)
\(480\) −1.50410 2.83703i −0.0686525 0.129492i
\(481\) 12.6143 7.58977i 0.575162 0.346064i
\(482\) −13.0584 6.04145i −0.594793 0.275181i
\(483\) 21.5826 + 16.4066i 0.982040 + 0.746528i
\(484\) −7.58424 11.1859i −0.344738 0.508451i
\(485\) 1.90180 + 1.14428i 0.0863563 + 0.0519589i
\(486\) −0.0258353 + 0.476505i −0.00117191 + 0.0216147i
\(487\) −23.7330 7.99657i −1.07544 0.362359i −0.274801 0.961501i \(-0.588612\pi\)
−0.800643 + 0.599142i \(0.795509\pi\)
\(488\) 8.26007 6.27914i 0.373916 0.284243i
\(489\) 10.9709 2.41487i 0.496120 0.109204i
\(490\) 0.733196 + 0.863185i 0.0331224 + 0.0389947i
\(491\) 23.0183 + 2.50339i 1.03880 + 0.112976i 0.611589 0.791175i \(-0.290531\pi\)
0.427211 + 0.904152i \(0.359496\pi\)
\(492\) 3.12826 11.2670i 0.141033 0.507954i
\(493\) −0.107870 1.98955i −0.00485824 0.0896049i
\(494\) 2.39879 4.52461i 0.107927 0.203572i
\(495\) −0.782226 + 0.920907i −0.0351584 + 0.0413917i
\(496\) 9.49749 8.99650i 0.426450 0.403955i
\(497\) −7.26303 18.2288i −0.325791 0.817675i
\(498\) −2.82583 + 7.09230i −0.126629 + 0.317814i
\(499\) 11.7384 + 11.1192i 0.525484 + 0.497764i 0.903825 0.427901i \(-0.140747\pi\)
−0.378342 + 0.925666i \(0.623506\pi\)
\(500\) −11.0876 + 1.20585i −0.495854 + 0.0539273i
\(501\) −1.21574 + 7.41570i −0.0543154 + 0.331309i
\(502\) −2.32102 + 14.1576i −0.103592 + 0.631885i
\(503\) −19.1952 + 2.08761i −0.855873 + 0.0930818i −0.525526 0.850778i \(-0.676131\pi\)
−0.330347 + 0.943859i \(0.607166\pi\)
\(504\) 4.25659 + 4.03205i 0.189603 + 0.179602i
\(505\) −1.22368 + 3.07119i −0.0544529 + 0.136666i
\(506\) −2.70077 6.77842i −0.120064 0.301338i
\(507\) −3.92067 + 3.71385i −0.174123 + 0.164938i
\(508\) −17.8398 + 21.0026i −0.791512 + 0.931840i
\(509\) −11.5906 + 21.8623i −0.513746 + 0.969028i 0.481936 + 0.876206i \(0.339934\pi\)
−0.995683 + 0.0928221i \(0.970411\pi\)
\(510\) −0.0820729 1.51375i −0.00363425 0.0670298i
\(511\) −3.67800 + 13.2470i −0.162705 + 0.586011i
\(512\) −22.6453 2.46283i −1.00079 0.108843i
\(513\) −2.52018 2.96699i −0.111269 0.130996i
\(514\) −13.0099 + 2.86369i −0.573840 + 0.126312i
\(515\) 8.93836 6.79477i 0.393871 0.299413i
\(516\) 13.6185 + 4.58860i 0.599521 + 0.202002i
\(517\) −0.0319003 + 0.588366i −0.00140297 + 0.0258763i
\(518\) 7.11200 + 4.27915i 0.312483 + 0.188015i
\(519\) −0.551013 0.812684i −0.0241868 0.0356729i
\(520\) −2.59858 1.97539i −0.113955 0.0866266i
\(521\) −19.4655 9.00568i −0.852797 0.394546i −0.0557367 0.998446i \(-0.517751\pi\)
−0.797060 + 0.603900i \(0.793613\pi\)
\(522\) 0.168690 0.101497i 0.00738336 0.00444242i
\(523\) −7.63458 14.4003i −0.333837 0.629683i 0.658593 0.752500i \(-0.271152\pi\)
−0.992429 + 0.122817i \(0.960807\pi\)
\(524\) 2.19675 + 0.483541i 0.0959655 + 0.0211236i
\(525\) 13.5010 6.24624i 0.589233 0.272608i
\(526\) 3.87535 5.71572i 0.168973 0.249217i
\(527\) 22.2953 7.51217i 0.971200 0.327235i
\(528\) 1.31976 + 4.75336i 0.0574354 + 0.206864i
\(529\) −7.48808 45.6752i −0.325569 1.98588i
\(530\) −2.78298 −0.120885
\(531\) −5.58331 + 5.27510i −0.242295 + 0.228920i
\(532\) −22.4708 −0.974234
\(533\) −2.94257 17.9489i −0.127457 0.777453i
\(534\) −1.08760 3.91718i −0.0470650 0.169513i
\(535\) 3.46751 1.16834i 0.149913 0.0505117i
\(536\) −8.60463 + 12.6909i −0.371663 + 0.548162i
\(537\) −4.84665 + 2.24230i −0.209148 + 0.0967624i
\(538\) −5.65643 1.24508i −0.243866 0.0536790i
\(539\) −3.10461 5.85592i −0.133725 0.252232i
\(540\) −0.998870 + 0.601000i −0.0429845 + 0.0258629i
\(541\) 12.1961 + 5.64253i 0.524353 + 0.242592i 0.664164 0.747587i \(-0.268788\pi\)
−0.139811 + 0.990178i \(0.544650\pi\)
\(542\) 1.14994 + 0.874165i 0.0493944 + 0.0375486i
\(543\) −1.66556 2.45652i −0.0714762 0.105420i
\(544\) −20.2026 12.1555i −0.866181 0.521164i
\(545\) −0.00187848 + 0.0346466i −8.04653e−5 + 0.00148410i
\(546\) 4.06040 + 1.36811i 0.173769 + 0.0585496i
\(547\) −22.3954 + 17.0246i −0.957559 + 0.727917i −0.962277 0.272071i \(-0.912291\pi\)
0.00471811 + 0.999989i \(0.498498\pi\)
\(548\) 30.0058 6.60478i 1.28179 0.282142i
\(549\) −3.73143 4.39298i −0.159254 0.187488i
\(550\) −3.98029 0.432883i −0.169720 0.0184582i
\(551\) −0.429650 + 1.54746i −0.0183037 + 0.0659239i
\(552\) −0.811217 14.9620i −0.0345277 0.636826i
\(553\) 23.4094 44.1548i 0.995469 1.87765i
\(554\) 4.38393 5.16117i 0.186255 0.219277i
\(555\) −2.55013 + 2.41561i −0.108247 + 0.102537i
\(556\) −0.0545648 0.136947i −0.00231406 0.00580786i
\(557\) 16.0647 40.3193i 0.680682 1.70838i −0.0248359 0.999692i \(-0.507906\pi\)
0.705518 0.708692i \(-0.250714\pi\)
\(558\) 1.68767 + 1.59864i 0.0714446 + 0.0676759i
\(559\) 22.2224 2.41683i 0.939906 0.102221i
\(560\) −0.930778 + 5.67749i −0.0393325 + 0.239918i
\(561\) −1.43531 + 8.75502i −0.0605989 + 0.369637i
\(562\) 6.86739 0.746874i 0.289683 0.0315050i
\(563\) 18.2041 + 17.2439i 0.767213 + 0.726743i 0.967466 0.253001i \(-0.0814177\pi\)
−0.200253 + 0.979744i \(0.564176\pi\)
\(564\) −0.210417 + 0.528107i −0.00886015 + 0.0222373i
\(565\) 0.0833735 + 0.209252i 0.00350755 + 0.00880329i
\(566\) −9.14050 + 8.65834i −0.384204 + 0.363937i
\(567\) 2.10855 2.48237i 0.0885506 0.104250i
\(568\) −5.08004 + 9.58198i −0.213154 + 0.402051i
\(569\) 1.67106 + 30.8208i 0.0700543 + 1.29208i 0.796410 + 0.604757i \(0.206730\pi\)
−0.726356 + 0.687319i \(0.758788\pi\)
\(570\) −0.326898 + 1.17738i −0.0136922 + 0.0493150i
\(571\) 1.53655 + 0.167110i 0.0643025 + 0.00699332i 0.140214 0.990121i \(-0.455221\pi\)
−0.0759112 + 0.997115i \(0.524187\pi\)
\(572\) 5.81018 + 6.84027i 0.242936 + 0.286006i
\(573\) −25.5669 + 5.62771i −1.06807 + 0.235101i
\(574\) 8.16375 6.20592i 0.340748 0.259030i
\(575\) −36.0274 12.1391i −1.50245 0.506233i
\(576\) −0.164658 + 3.03693i −0.00686074 + 0.126539i
\(577\) 1.66084 + 0.999297i 0.0691419 + 0.0416013i 0.549705 0.835359i \(-0.314740\pi\)
−0.480563 + 0.876960i \(0.659568\pi\)
\(578\) −1.69401 2.49847i −0.0704614 0.103923i
\(579\) −0.795059 0.604388i −0.0330415 0.0251175i
\(580\) 0.436475 + 0.201935i 0.0181236 + 0.00838489i
\(581\) 44.6484 26.8641i 1.85233 1.11451i
\(582\) 0.754253 + 1.42267i 0.0312648 + 0.0589716i
\(583\) 15.9060 + 3.50118i 0.658760 + 0.145004i
\(584\) 6.89625 3.19055i 0.285369 0.132026i
\(585\) −1.01759 + 1.50083i −0.0420721 + 0.0620517i
\(586\) 5.34183 1.79987i 0.220669 0.0743521i
\(587\) −6.07102 21.8658i −0.250578 0.902500i −0.976642 0.214873i \(-0.931066\pi\)
0.726064 0.687627i \(-0.241348\pi\)
\(588\) −1.03453 6.31037i −0.0426634 0.260235i
\(589\) −18.9634 −0.781373
\(590\) 2.35397 + 0.521344i 0.0969115 + 0.0214634i
\(591\) 20.8766 0.858749
\(592\) 2.32015 + 14.1523i 0.0953577 + 0.581656i
\(593\) −4.60740 16.5943i −0.189203 0.681448i −0.995898 0.0904801i \(-0.971160\pi\)
0.806695 0.590968i \(-0.201254\pi\)
\(594\) −0.830718 + 0.279901i −0.0340848 + 0.0114845i
\(595\) −5.80648 + 8.56391i −0.238042 + 0.351086i
\(596\) 12.7243 5.88687i 0.521206 0.241136i
\(597\) −16.5158 3.63541i −0.675948 0.148787i
\(598\) −5.12914 9.67458i −0.209746 0.395623i
\(599\) 5.33664 3.21095i 0.218049 0.131196i −0.402339 0.915491i \(-0.631803\pi\)
0.620388 + 0.784295i \(0.286975\pi\)
\(600\) −7.46200 3.45229i −0.304635 0.140939i
\(601\) 16.6750 + 12.6760i 0.680186 + 0.517064i 0.887265 0.461260i \(-0.152603\pi\)
−0.207079 + 0.978324i \(0.566396\pi\)
\(602\) 7.07262 + 10.4313i 0.288258 + 0.425149i
\(603\) 7.29835 + 4.39127i 0.297212 + 0.178826i
\(604\) −0.831178 + 15.3302i −0.0338201 + 0.623776i
\(605\) 4.75326 + 1.60156i 0.193247 + 0.0651126i
\(606\) −1.90942 + 1.45150i −0.0775650 + 0.0589634i
\(607\) 4.33035 0.953183i 0.175764 0.0386885i −0.126216 0.992003i \(-0.540283\pi\)
0.301980 + 0.953314i \(0.402352\pi\)
\(608\) 12.3031 + 14.4843i 0.498957 + 0.587417i
\(609\) −1.33580 0.145277i −0.0541295 0.00588694i
\(610\) −0.484011 + 1.74325i −0.0195970 + 0.0705822i
\(611\) 0.0478730 + 0.882965i 0.00193673 + 0.0357209i
\(612\) −4.00934 + 7.56241i −0.162068 + 0.305692i
\(613\) 5.88655 6.93018i 0.237756 0.279907i −0.630324 0.776332i \(-0.717078\pi\)
0.868080 + 0.496424i \(0.165354\pi\)
\(614\) 6.94992 6.58331i 0.280476 0.265681i
\(615\) 1.60633 + 4.03158i 0.0647734 + 0.162569i
\(616\) −3.98649 + 10.0053i −0.160620 + 0.403127i
\(617\) −29.7516 28.1822i −1.19775 1.13457i −0.987614 0.156901i \(-0.949850\pi\)
−0.210139 0.977671i \(-0.567392\pi\)
\(618\) 8.09797 0.880708i 0.325748 0.0354273i
\(619\) −4.05364 + 24.7261i −0.162930 + 0.993827i 0.771122 + 0.636688i \(0.219696\pi\)
−0.934051 + 0.357139i \(0.883752\pi\)
\(620\) −0.918710 + 5.60388i −0.0368963 + 0.225057i
\(621\) −8.27497 + 0.899957i −0.332063 + 0.0361140i
\(622\) 6.27549 + 5.94446i 0.251624 + 0.238351i
\(623\) −10.2702 + 25.7762i −0.411466 + 1.03270i
\(624\) 2.74023 + 6.87745i 0.109697 + 0.275318i
\(625\) −13.5742 + 12.8582i −0.542970 + 0.514328i
\(626\) 5.22408 6.15027i 0.208796 0.245814i
\(627\) 3.34960 6.31801i 0.133770 0.252317i
\(628\) −0.0435586 0.803392i −0.00173818 0.0320588i
\(629\) −6.89994 + 24.8513i −0.275119 + 0.990888i
\(630\) −1.01634 0.110534i −0.0404920 0.00440377i
\(631\) 31.1774 + 36.7049i 1.24115 + 1.46120i 0.837640 + 0.546223i \(0.183935\pi\)
0.403512 + 0.914974i \(0.367789\pi\)
\(632\) −26.9762 + 5.93790i −1.07305 + 0.236197i
\(633\) 4.43062 3.36807i 0.176101 0.133869i
\(634\) −0.772101 0.260151i −0.0306641 0.0103319i
\(635\) 0.553698 10.2124i 0.0219728 0.405265i
\(636\) 13.4641 + 8.10105i 0.533885 + 0.321228i
\(637\) −5.58195 8.23276i −0.221165 0.326194i
\(638\) 0.287902 + 0.218857i 0.0113981 + 0.00866464i
\(639\) 5.46786 + 2.52970i 0.216305 + 0.100073i
\(640\) 6.32089 3.80315i 0.249855 0.150333i
\(641\) −10.2111 19.2603i −0.403316 0.760734i 0.595785 0.803144i \(-0.296841\pi\)
−0.999100 + 0.0424101i \(0.986496\pi\)
\(642\) 2.59256 + 0.570666i 0.102320 + 0.0225224i
\(643\) 16.1625 7.47756i 0.637386 0.294886i −0.0744576 0.997224i \(-0.523723\pi\)
0.711844 + 0.702338i \(0.247860\pi\)
\(644\) −26.9636 + 39.7684i −1.06252 + 1.56709i
\(645\) −5.05437 + 1.70301i −0.199016 + 0.0670561i
\(646\) 2.40027 + 8.64497i 0.0944372 + 0.340132i
\(647\) 6.94078 + 42.3369i 0.272870 + 1.66443i 0.666757 + 0.745275i \(0.267682\pi\)
−0.393887 + 0.919159i \(0.628870\pi\)
\(648\) −1.80015 −0.0707165
\(649\) −12.7982 5.94119i −0.502372 0.233212i
\(650\) −6.00847 −0.235672
\(651\) −2.56683 15.6570i −0.100602 0.613646i
\(652\) 5.32618 + 19.1832i 0.208589 + 0.751271i
\(653\) 11.9200 4.01631i 0.466466 0.157171i −0.0762472 0.997089i \(-0.524294\pi\)
0.542713 + 0.839918i \(0.317397\pi\)
\(654\) −0.0141267 + 0.0208353i −0.000552398 + 0.000814726i
\(655\) −0.757662 + 0.350532i −0.0296043 + 0.0136964i
\(656\) 17.3043 + 3.80897i 0.675620 + 0.148715i
\(657\) −1.97718 3.72937i −0.0771373 0.145496i
\(658\) −0.427187 + 0.257030i −0.0166535 + 0.0100201i
\(659\) −9.69153 4.48378i −0.377528 0.174663i 0.221943 0.975060i \(-0.428760\pi\)
−0.599471 + 0.800396i \(0.704622\pi\)
\(660\) −1.70476 1.29593i −0.0663578 0.0504439i
\(661\) −15.1733 22.3789i −0.590172 0.870439i 0.408940 0.912561i \(-0.365898\pi\)
−0.999112 + 0.0421222i \(0.986588\pi\)
\(662\) −3.15207 1.89654i −0.122509 0.0737110i
\(663\) −0.720811 + 13.2946i −0.0279940 + 0.516319i
\(664\) −27.2920 9.19575i −1.05914 0.356864i
\(665\) 6.63928 5.04705i 0.257460 0.195716i
\(666\) −2.48880 + 0.547826i −0.0964390 + 0.0212278i
\(667\) 2.22310 + 2.61724i 0.0860788 + 0.101340i
\(668\) −13.2400 1.43994i −0.512273 0.0557130i
\(669\) 1.18130 4.25465i 0.0456716 0.164494i
\(670\) −0.144744 2.66964i −0.00559194 0.103137i
\(671\) 4.95948 9.35457i 0.191459 0.361129i
\(672\) −10.2936 + 12.1185i −0.397083 + 0.467482i
\(673\) 30.5326 28.9221i 1.17695 1.11486i 0.185732 0.982600i \(-0.440534\pi\)
0.991215 0.132263i \(-0.0422243\pi\)
\(674\) −2.61151 6.55440i −0.100592 0.252466i
\(675\) −1.69055 + 4.24296i −0.0650693 + 0.163312i
\(676\) −6.94850 6.58197i −0.267250 0.253153i
\(677\) −43.9934 + 4.78457i −1.69080 + 0.183886i −0.902290 0.431130i \(-0.858115\pi\)
−0.788515 + 0.615016i \(0.789149\pi\)
\(678\) −0.0264381 + 0.161265i −0.00101535 + 0.00619335i
\(679\) 1.77802 10.8455i 0.0682343 0.416211i
\(680\) 5.68513 0.618295i 0.218015 0.0237105i
\(681\) −21.6382 20.4968i −0.829178 0.785439i
\(682\) −1.58058 + 3.96695i −0.0605234 + 0.151902i
\(683\) 13.4619 + 33.7869i 0.515106 + 1.29282i 0.924751 + 0.380573i \(0.124273\pi\)
−0.409645 + 0.912245i \(0.634347\pi\)
\(684\) 5.00880 4.74459i 0.191516 0.181414i
\(685\) −7.38212 + 8.69091i −0.282056 + 0.332062i
\(686\) −2.46938 + 4.65774i −0.0942812 + 0.177833i
\(687\) −1.46948 27.1030i −0.0560642 1.03404i
\(688\) −5.82566 + 20.9821i −0.222101 + 0.799937i
\(689\) 24.2984 + 2.64261i 0.925697 + 0.100676i
\(690\) 1.69144 + 1.99132i 0.0643920 + 0.0758082i
\(691\) −23.6585 + 5.20763i −0.900012 + 0.198108i −0.640796 0.767712i \(-0.721395\pi\)
−0.259217 + 0.965819i \(0.583464\pi\)
\(692\) 1.38532 1.05309i 0.0526619 0.0400325i
\(693\) 5.66981 + 1.91038i 0.215378 + 0.0725694i
\(694\) −0.858692 + 15.8376i −0.0325955 + 0.601189i
\(695\) 0.0468808 + 0.0282072i 0.00177829 + 0.00106996i
\(696\) 0.416766 + 0.614683i 0.0157975 + 0.0232995i
\(697\) 25.3677 + 19.2841i 0.960872 + 0.730436i
\(698\) 6.82649 + 3.15827i 0.258387 + 0.119542i
\(699\) −9.01153 + 5.42206i −0.340847 + 0.205081i
\(700\) 12.3492 + 23.2931i 0.466757 + 0.880397i
\(701\) −27.6917 6.09541i −1.04590 0.230220i −0.341397 0.939919i \(-0.610900\pi\)
−0.704505 + 0.709699i \(0.748831\pi\)
\(702\) −1.19394 + 0.552376i −0.0450624 + 0.0208481i
\(703\) 11.6664 17.2066i 0.440005 0.648959i
\(704\) −5.29446 + 1.78391i −0.199542 + 0.0672336i
\(705\) −0.0564449 0.203296i −0.00212584 0.00765657i
\(706\) 2.32017 + 14.1524i 0.0873208 + 0.532633i
\(707\) 16.3702 0.615663
\(708\) −9.87093 9.37451i −0.370972 0.352316i
\(709\) 10.9393 0.410832 0.205416 0.978675i \(-0.434145\pi\)
0.205416 + 0.978675i \(0.434145\pi\)
\(710\) −0.305941 1.86616i −0.0114818 0.0700358i
\(711\) 4.10503 + 14.7850i 0.153951 + 0.554480i
\(712\) 14.5329 4.89670i 0.544643 0.183511i
\(713\) −22.7549 + 33.5610i −0.852178 + 1.25687i
\(714\) −6.81277 + 3.15192i −0.254961 + 0.117958i
\(715\) −3.25304 0.716049i −0.121657 0.0267787i
\(716\) −4.43318 8.36186i −0.165676 0.312497i
\(717\) 19.1976 11.5508i 0.716947 0.431372i
\(718\) −0.904149 0.418304i −0.0337425 0.0156110i
\(719\) −5.90658 4.49007i −0.220278 0.167451i 0.489215 0.872163i \(-0.337283\pi\)
−0.709494 + 0.704712i \(0.751076\pi\)
\(720\) −0.991297 1.46205i −0.0369435 0.0544875i
\(721\) −47.6380 28.6628i −1.77413 1.06746i
\(722\) −0.0993543 + 1.83248i −0.00369758 + 0.0681979i
\(723\) −28.5727 9.62727i −1.06263 0.358042i
\(724\) 4.18744 3.18321i 0.155625 0.118303i
\(725\) 1.84021 0.405060i 0.0683435 0.0150435i
\(726\) 2.35581 + 2.77348i 0.0874325 + 0.102933i
\(727\) −13.7698 1.49755i −0.510693 0.0555412i −0.150855 0.988556i \(-0.548203\pi\)
−0.359838 + 0.933015i \(0.617168\pi\)
\(728\) −4.32407 + 15.5739i −0.160261 + 0.577207i
\(729\) 0.0541389 + 0.998533i 0.00200514 + 0.0369827i
\(730\) −0.620613 + 1.17060i −0.0229699 + 0.0433259i
\(731\) −25.3529 + 29.8478i −0.937712 + 1.10396i
\(732\) 7.41613 7.02493i 0.274108 0.259649i
\(733\) 13.3577 + 33.5252i 0.493376 + 1.23828i 0.939265 + 0.343192i \(0.111508\pi\)
−0.445889 + 0.895088i \(0.647112\pi\)
\(734\) 5.92210 14.8634i 0.218589 0.548616i
\(735\) 1.72300 + 1.63211i 0.0635539 + 0.0602015i
\(736\) 40.3970 4.39344i 1.48905 0.161944i
\(737\) −2.53131 + 15.4403i −0.0932422 + 0.568752i
\(738\) −0.509373 + 3.10704i −0.0187503 + 0.114372i
\(739\) 3.21231 0.349360i 0.118167 0.0128514i −0.0488446 0.998806i \(-0.515554\pi\)
0.167011 + 0.985955i \(0.446588\pi\)
\(740\) −4.51953 4.28113i −0.166141 0.157377i
\(741\) 3.97217 9.96939i 0.145921 0.366235i
\(742\) 5.10064 + 12.8016i 0.187250 + 0.469963i
\(743\) 9.44709 8.94876i 0.346580 0.328298i −0.494531 0.869160i \(-0.664660\pi\)
0.841112 + 0.540862i \(0.181902\pi\)
\(744\) −5.67701 + 6.68349i −0.208129 + 0.245029i
\(745\) −2.43732 + 4.59727i −0.0892965 + 0.168431i
\(746\) −0.825729 15.2297i −0.0302321 0.557598i
\(747\) −4.28004 + 15.4153i −0.156598 + 0.564017i
\(748\) −15.6313 1.70000i −0.571536 0.0621582i
\(749\) −11.7296 13.8091i −0.428589 0.504574i
\(750\) 2.93286 0.645571i 0.107093 0.0235729i
\(751\) −0.537702 + 0.408750i −0.0196210 + 0.0149155i −0.614939 0.788575i \(-0.710819\pi\)
0.595318 + 0.803490i \(0.297026\pi\)
\(752\) −0.816323 0.275051i −0.0297683 0.0100301i
\(753\) −1.62762 + 30.0197i −0.0593139 + 1.09398i
\(754\) 0.465034 + 0.279802i 0.0169355 + 0.0101898i
\(755\) −3.19764 4.71617i −0.116374 0.171639i
\(756\) 4.59531 + 3.49326i 0.167130 + 0.127049i
\(757\) 16.3407 + 7.56002i 0.593914 + 0.274774i 0.693733 0.720232i \(-0.255965\pi\)
−0.0998199 + 0.995006i \(0.531827\pi\)
\(758\) −9.81562 + 5.90586i −0.356519 + 0.214511i
\(759\) −7.16216 13.5093i −0.259970 0.490355i
\(760\) −4.50165 0.990887i −0.163292 0.0359433i
\(761\) 17.8981 8.28056i 0.648807 0.300170i −0.0677459 0.997703i \(-0.521581\pi\)
0.716553 + 0.697532i \(0.245719\pi\)
\(762\) 4.16396 6.14138i 0.150844 0.222479i
\(763\) 0.162816 0.0548591i 0.00589434 0.00198603i
\(764\) −12.4123 44.7052i −0.449063 1.61738i
\(765\) −0.513944 3.13492i −0.0185817 0.113343i
\(766\) 5.82411 0.210434
\(767\) −20.0577 6.78715i −0.724241 0.245070i
\(768\) −0.730918 −0.0263747
\(769\) 2.52447 + 15.3986i 0.0910348 + 0.555288i 0.992481 + 0.122397i \(0.0390582\pi\)
−0.901446 + 0.432891i \(0.857494\pi\)
\(770\) −0.502415 1.80954i −0.0181058 0.0652111i
\(771\) −26.4540 + 8.91339i −0.952718 + 0.321008i
\(772\)