Properties

Label 400.2.bm.a.227.17
Level $400$
Weight $2$
Character 400.227
Analytic conductor $3.194$
Analytic rank $0$
Dimension $464$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 400 = 2^{4} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 400.bm (of order \(20\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.19401608085\)
Analytic rank: \(0\)
Dimension: \(464\)
Relative dimension: \(58\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 227.17
Character \(\chi\) \(=\) 400.227
Dual form 400.2.bm.a.363.17

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.839841 - 1.13783i) q^{2} +(-3.16222 - 1.02747i) q^{3} +(-0.589333 + 1.91120i) q^{4} +(0.0858987 + 2.23442i) q^{5} +(1.48667 + 4.46099i) q^{6} +(-0.838482 - 0.838482i) q^{7} +(2.66958 - 0.934542i) q^{8} +(6.51689 + 4.73480i) q^{9} +O(q^{10})\) \(q+(-0.839841 - 1.13783i) q^{2} +(-3.16222 - 1.02747i) q^{3} +(-0.589333 + 1.91120i) q^{4} +(0.0858987 + 2.23442i) q^{5} +(1.48667 + 4.46099i) q^{6} +(-0.838482 - 0.838482i) q^{7} +(2.66958 - 0.934542i) q^{8} +(6.51689 + 4.73480i) q^{9} +(2.47026 - 1.97429i) q^{10} +(-1.86851 - 0.295943i) q^{11} +(3.82730 - 5.43811i) q^{12} +(0.377330 + 0.274146i) q^{13} +(-0.249862 + 1.65825i) q^{14} +(2.02416 - 7.15398i) q^{15} +(-3.30537 - 2.25267i) q^{16} +(2.08071 - 4.08363i) q^{17} +(-0.0857390 - 11.3916i) q^{18} +(-0.912072 + 1.79004i) q^{19} +(-4.32104 - 1.15265i) q^{20} +(1.78995 + 3.51298i) q^{21} +(1.23252 + 2.37460i) q^{22} +(-0.627205 + 3.96002i) q^{23} +(-9.40199 + 0.212324i) q^{24} +(-4.98524 + 0.383867i) q^{25} +(-0.00496431 - 0.659578i) q^{26} +(-9.87991 - 13.5985i) q^{27} +(2.09665 - 1.10836i) q^{28} +(-3.25573 - 6.38973i) q^{29} +(-9.84001 + 3.70505i) q^{30} +(5.55562 - 1.80513i) q^{31} +(0.212827 + 5.65285i) q^{32} +(5.60457 + 2.85567i) q^{33} +(-6.39396 + 1.06209i) q^{34} +(1.80149 - 1.94554i) q^{35} +(-12.8898 + 9.66471i) q^{36} +(-2.92103 - 2.12225i) q^{37} +(2.80277 - 0.465565i) q^{38} +(-0.911523 - 1.25460i) q^{39} +(2.31747 + 5.88467i) q^{40} +(3.14042 - 4.32242i) q^{41} +(2.49391 - 4.98701i) q^{42} +10.8696 q^{43} +(1.66678 - 3.39669i) q^{44} +(-10.0197 + 14.9682i) q^{45} +(5.03260 - 2.61213i) q^{46} +(-5.11072 - 10.0304i) q^{47} +(8.13777 + 10.5196i) q^{48} -5.59390i q^{49} +(4.62359 + 5.34999i) q^{50} +(-10.7755 + 10.7755i) q^{51} +(-0.746321 + 0.559589i) q^{52} +(-11.6943 - 3.79971i) q^{53} +(-7.17531 + 22.6623i) q^{54} +(0.500758 - 4.20046i) q^{55} +(-3.02199 - 1.45479i) q^{56} +(4.72338 - 4.72338i) q^{57} +(-4.53615 + 9.07084i) q^{58} +(7.89989 - 1.25122i) q^{59} +(12.4798 + 8.08465i) q^{60} +(6.71970 + 1.06430i) q^{61} +(-6.71978 - 4.80536i) q^{62} +(-1.49425 - 9.43434i) q^{63} +(6.25326 - 4.98966i) q^{64} +(-0.580144 + 0.866661i) q^{65} +(-1.45767 - 8.77539i) q^{66} +(-0.330549 - 1.01732i) q^{67} +(6.57840 + 6.38328i) q^{68} +(6.05215 - 11.8780i) q^{69} +(-3.72668 - 0.415854i) q^{70} +(3.28637 - 10.1144i) q^{71} +(21.8222 + 6.54959i) q^{72} +(7.93245 + 1.25638i) q^{73} +(0.0384303 + 5.10599i) q^{74} +(16.1588 + 3.90830i) q^{75} +(-2.88362 - 2.79808i) q^{76} +(1.31857 + 1.81486i) q^{77} +(-0.661996 + 2.09083i) q^{78} +(0.203141 - 0.625203i) q^{79} +(4.74947 - 7.57908i) q^{80} +(9.80270 + 30.1696i) q^{81} +(-7.55566 + 0.0568676i) q^{82} +(-3.57555 + 1.16177i) q^{83} +(-7.76888 + 1.35064i) q^{84} +(9.30327 + 4.29841i) q^{85} +(-9.12871 - 12.3678i) q^{86} +(3.73009 + 23.5509i) q^{87} +(-5.26471 + 0.956160i) q^{88} +(-0.478118 + 0.347373i) q^{89} +(25.4463 - 1.17010i) q^{90} +(-0.0865176 - 0.546251i) q^{91} +(-7.19875 - 3.53248i) q^{92} -19.4228 q^{93} +(-7.12069 + 14.2391i) q^{94} +(-4.07805 - 1.88419i) q^{95} +(5.13511 - 18.0942i) q^{96} +(10.7979 - 5.50179i) q^{97} +(-6.36493 + 4.69798i) q^{98} +(-10.7757 - 10.7757i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 464q - 8q^{2} - 10q^{3} - 10q^{4} - 8q^{5} - 6q^{6} - 16q^{7} - 2q^{8} + 108q^{9} + O(q^{10}) \) \( 464q - 8q^{2} - 10q^{3} - 10q^{4} - 8q^{5} - 6q^{6} - 16q^{7} - 2q^{8} + 108q^{9} - 4q^{10} - 6q^{11} - 22q^{12} - 6q^{13} - 10q^{14} - 12q^{15} + 34q^{16} - 16q^{17} - 24q^{18} - 10q^{19} - 14q^{20} - 36q^{21} - 60q^{22} - 16q^{23} - 12q^{24} - 16q^{26} - 10q^{27} + 6q^{28} - 10q^{29} - 106q^{30} + 2q^{32} - 16q^{33} - 10q^{34} - 60q^{35} + 10q^{36} - 6q^{37} - 38q^{38} - 20q^{39} + 16q^{40} - 38q^{42} + 16q^{43} - 80q^{44} - 4q^{45} - 6q^{46} + 24q^{47} + 60q^{48} + 38q^{50} - 16q^{51} - 160q^{52} - 10q^{53} - 16q^{55} - 6q^{56} - 12q^{57} - 110q^{58} - 10q^{59} - 50q^{60} - 6q^{61} - 14q^{62} - 12q^{63} + 20q^{64} - 16q^{65} - 6q^{66} + 30q^{67} - 50q^{68} - 22q^{69} + 38q^{70} - 12q^{71} + 172q^{72} - 8q^{73} + 8q^{74} - 58q^{75} - 16q^{76} + 60q^{77} - 48q^{78} + 208q^{80} - 96q^{81} - 14q^{82} - 10q^{83} - 22q^{84} + 2q^{85} - 126q^{86} - 72q^{87} + 86q^{88} + 110q^{90} + 64q^{91} - 66q^{92} - 28q^{93} - 10q^{94} - 160q^{95} - 36q^{96} - 16q^{97} - 44q^{98} - 12q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/400\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(177\) \(351\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{20}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.839841 1.13783i −0.593857 0.804570i
\(3\) −3.16222 1.02747i −1.82571 0.593209i −0.999557 0.0297597i \(-0.990526\pi\)
−0.826151 0.563449i \(-0.809474\pi\)
\(4\) −0.589333 + 1.91120i −0.294667 + 0.955600i
\(5\) 0.0858987 + 2.23442i 0.0384151 + 0.999262i
\(6\) 1.48667 + 4.46099i 0.606932 + 1.82119i
\(7\) −0.838482 0.838482i −0.316916 0.316916i 0.530665 0.847582i \(-0.321942\pi\)
−0.847582 + 0.530665i \(0.821942\pi\)
\(8\) 2.66958 0.934542i 0.943837 0.330410i
\(9\) 6.51689 + 4.73480i 2.17230 + 1.57827i
\(10\) 2.47026 1.97429i 0.781163 0.624327i
\(11\) −1.86851 0.295943i −0.563378 0.0892303i −0.131751 0.991283i \(-0.542060\pi\)
−0.431626 + 0.902053i \(0.642060\pi\)
\(12\) 3.82730 5.43811i 1.10485 1.56985i
\(13\) 0.377330 + 0.274146i 0.104652 + 0.0760344i 0.638881 0.769306i \(-0.279398\pi\)
−0.534228 + 0.845340i \(0.679398\pi\)
\(14\) −0.249862 + 1.65825i −0.0667783 + 0.443185i
\(15\) 2.02416 7.15398i 0.522636 1.84715i
\(16\) −3.30537 2.25267i −0.826343 0.563167i
\(17\) 2.08071 4.08363i 0.504647 0.990426i −0.488390 0.872625i \(-0.662416\pi\)
0.993037 0.117801i \(-0.0375844\pi\)
\(18\) −0.0857390 11.3916i −0.0202089 2.68503i
\(19\) −0.912072 + 1.79004i −0.209244 + 0.410664i −0.971646 0.236439i \(-0.924020\pi\)
0.762403 + 0.647103i \(0.224020\pi\)
\(20\) −4.32104 1.15265i −0.966214 0.257740i
\(21\) 1.78995 + 3.51298i 0.390599 + 0.766595i
\(22\) 1.23252 + 2.37460i 0.262774 + 0.506267i
\(23\) −0.627205 + 3.96002i −0.130781 + 0.825721i 0.831869 + 0.554972i \(0.187271\pi\)
−0.962650 + 0.270748i \(0.912729\pi\)
\(24\) −9.40199 + 0.212324i −1.91917 + 0.0433405i
\(25\) −4.98524 + 0.383867i −0.997049 + 0.0767734i
\(26\) −0.00496431 0.659578i −0.000973581 0.129354i
\(27\) −9.87991 13.5985i −1.90139 2.61704i
\(28\) 2.09665 1.10836i 0.396230 0.209461i
\(29\) −3.25573 6.38973i −0.604574 1.18654i −0.967059 0.254553i \(-0.918072\pi\)
0.362485 0.931990i \(-0.381928\pi\)
\(30\) −9.84001 + 3.70505i −1.79653 + 0.676446i
\(31\) 5.55562 1.80513i 0.997820 0.324211i 0.235826 0.971795i \(-0.424221\pi\)
0.761994 + 0.647584i \(0.224221\pi\)
\(32\) 0.212827 + 5.65285i 0.0376229 + 0.999292i
\(33\) 5.60457 + 2.85567i 0.975631 + 0.497109i
\(34\) −6.39396 + 1.06209i −1.09656 + 0.182148i
\(35\) 1.80149 1.94554i 0.304508 0.328857i
\(36\) −12.8898 + 9.66471i −2.14829 + 1.61078i
\(37\) −2.92103 2.12225i −0.480214 0.348896i 0.321195 0.947013i \(-0.395916\pi\)
−0.801408 + 0.598118i \(0.795916\pi\)
\(38\) 2.80277 0.465565i 0.454669 0.0755246i
\(39\) −0.911523 1.25460i −0.145960 0.200897i
\(40\) 2.31747 + 5.88467i 0.366424 + 0.930448i
\(41\) 3.14042 4.32242i 0.490452 0.675049i −0.490020 0.871711i \(-0.663010\pi\)
0.980471 + 0.196663i \(0.0630104\pi\)
\(42\) 2.49391 4.98701i 0.384819 0.769513i
\(43\) 10.8696 1.65759 0.828796 0.559551i \(-0.189026\pi\)
0.828796 + 0.559551i \(0.189026\pi\)
\(44\) 1.66678 3.39669i 0.251277 0.512071i
\(45\) −10.0197 + 14.9682i −1.49365 + 2.23132i
\(46\) 5.03260 2.61213i 0.742016 0.385138i
\(47\) −5.11072 10.0304i −0.745475 1.46308i −0.881406 0.472359i \(-0.843402\pi\)
0.135931 0.990718i \(-0.456598\pi\)
\(48\) 8.13777 + 10.5196i 1.17459 + 1.51837i
\(49\) 5.59390i 0.799128i
\(50\) 4.62359 + 5.34999i 0.653874 + 0.756603i
\(51\) −10.7755 + 10.7755i −1.50887 + 1.50887i
\(52\) −0.746321 + 0.559589i −0.103496 + 0.0776010i
\(53\) −11.6943 3.79971i −1.60634 0.521931i −0.637674 0.770307i \(-0.720103\pi\)
−0.968664 + 0.248376i \(0.920103\pi\)
\(54\) −7.17531 + 22.6623i −0.976436 + 3.08395i
\(55\) 0.500758 4.20046i 0.0675222 0.566390i
\(56\) −3.02199 1.45479i −0.403830 0.194405i
\(57\) 4.72338 4.72338i 0.625627 0.625627i
\(58\) −4.53615 + 9.07084i −0.595626 + 1.19106i
\(59\) 7.89989 1.25122i 1.02848 0.162895i 0.380680 0.924707i \(-0.375690\pi\)
0.647798 + 0.761812i \(0.275690\pi\)
\(60\) 12.4798 + 8.08465i 1.61113 + 1.04372i
\(61\) 6.71970 + 1.06430i 0.860369 + 0.136269i 0.571002 0.820949i \(-0.306555\pi\)
0.289368 + 0.957218i \(0.406555\pi\)
\(62\) −6.71978 4.80536i −0.853413 0.610281i
\(63\) −1.49425 9.43434i −0.188258 1.18862i
\(64\) 6.25326 4.98966i 0.781658 0.623707i
\(65\) −0.580144 + 0.866661i −0.0719581 + 0.107496i
\(66\) −1.45767 8.77539i −0.179427 1.08018i
\(67\) −0.330549 1.01732i −0.0403829 0.124286i 0.928833 0.370500i \(-0.120814\pi\)
−0.969216 + 0.246214i \(0.920814\pi\)
\(68\) 6.57840 + 6.38328i 0.797749 + 0.774086i
\(69\) 6.05215 11.8780i 0.728593 1.42994i
\(70\) −3.72668 0.415854i −0.445423 0.0497041i
\(71\) 3.28637 10.1144i 0.390020 1.20036i −0.542752 0.839893i \(-0.682618\pi\)
0.932772 0.360466i \(-0.117382\pi\)
\(72\) 21.8222 + 6.54959i 2.57177 + 0.771877i
\(73\) 7.93245 + 1.25638i 0.928423 + 0.147048i 0.602291 0.798277i \(-0.294255\pi\)
0.326132 + 0.945324i \(0.394255\pi\)
\(74\) 0.0384303 + 5.10599i 0.00446743 + 0.593560i
\(75\) 16.1588 + 3.90830i 1.86586 + 0.451292i
\(76\) −2.88362 2.79808i −0.330773 0.320962i
\(77\) 1.31857 + 1.81486i 0.150265 + 0.206822i
\(78\) −0.661996 + 2.09083i −0.0749563 + 0.236740i
\(79\) 0.203141 0.625203i 0.0228551 0.0703409i −0.938978 0.343976i \(-0.888226\pi\)
0.961834 + 0.273635i \(0.0882261\pi\)
\(80\) 4.74947 7.57908i 0.531007 0.847367i
\(81\) 9.80270 + 30.1696i 1.08919 + 3.35218i
\(82\) −7.55566 + 0.0568676i −0.834383 + 0.00627998i
\(83\) −3.57555 + 1.16177i −0.392468 + 0.127521i −0.498601 0.866831i \(-0.666153\pi\)
0.106134 + 0.994352i \(0.466153\pi\)
\(84\) −7.76888 + 1.35064i −0.847654 + 0.147367i
\(85\) 9.30327 + 4.29841i 1.00908 + 0.466228i
\(86\) −9.12871 12.3678i −0.984374 1.33365i
\(87\) 3.73009 + 23.5509i 0.399908 + 2.52492i
\(88\) −5.26471 + 0.956160i −0.561220 + 0.101927i
\(89\) −0.478118 + 0.347373i −0.0506804 + 0.0368214i −0.612837 0.790209i \(-0.709972\pi\)
0.562157 + 0.827031i \(0.309972\pi\)
\(90\) 25.4463 1.17010i 2.68227 0.123340i
\(91\) −0.0865176 0.546251i −0.00906951 0.0572626i
\(92\) −7.19875 3.53248i −0.750522 0.368287i
\(93\) −19.4228 −2.01405
\(94\) −7.12069 + 14.2391i −0.734443 + 1.46865i
\(95\) −4.07805 1.88419i −0.418399 0.193314i
\(96\) 5.13511 18.0942i 0.524100 1.84673i
\(97\) 10.7979 5.50179i 1.09636 0.558623i 0.190279 0.981730i \(-0.439061\pi\)
0.906079 + 0.423108i \(0.139061\pi\)
\(98\) −6.36493 + 4.69798i −0.642955 + 0.474568i
\(99\) −10.7757 10.7757i −1.08299 1.08299i
\(100\) 2.20432 9.75402i 0.220432 0.975402i
\(101\) −5.11599 + 5.11599i −0.509060 + 0.509060i −0.914238 0.405178i \(-0.867210\pi\)
0.405178 + 0.914238i \(0.367210\pi\)
\(102\) 21.3104 + 3.21101i 2.11004 + 0.317938i
\(103\) 5.33991 + 10.4802i 0.526157 + 1.03264i 0.989237 + 0.146325i \(0.0467444\pi\)
−0.463080 + 0.886317i \(0.653256\pi\)
\(104\) 1.26351 + 0.379223i 0.123897 + 0.0371859i
\(105\) −7.69570 + 4.30126i −0.751024 + 0.419760i
\(106\) 5.49792 + 16.4973i 0.534006 + 1.60236i
\(107\) 15.4298i 1.49165i −0.666140 0.745827i \(-0.732055\pi\)
0.666140 0.745827i \(-0.267945\pi\)
\(108\) 31.8121 10.8684i 3.06112 1.04581i
\(109\) 4.69966 0.744352i 0.450145 0.0712960i 0.0727541 0.997350i \(-0.476821\pi\)
0.377391 + 0.926054i \(0.376821\pi\)
\(110\) −5.19998 + 2.95794i −0.495799 + 0.282028i
\(111\) 7.05638 + 9.71227i 0.669762 + 0.921848i
\(112\) 0.882675 + 4.66032i 0.0834050 + 0.440359i
\(113\) 3.63030 0.574983i 0.341510 0.0540899i 0.0166760 0.999861i \(-0.494692\pi\)
0.324834 + 0.945771i \(0.394692\pi\)
\(114\) −9.34132 1.40753i −0.874895 0.131828i
\(115\) −8.90221 1.06128i −0.830135 0.0989647i
\(116\) 14.1308 2.45667i 1.31201 0.228096i
\(117\) 1.16099 + 3.57316i 0.107334 + 0.330339i
\(118\) −8.05834 7.93794i −0.741830 0.730747i
\(119\) −5.16869 + 1.67941i −0.473813 + 0.153951i
\(120\) −1.28204 20.9897i −0.117034 1.91609i
\(121\) −7.05787 2.29324i −0.641624 0.208476i
\(122\) −4.43249 8.53974i −0.401299 0.773152i
\(123\) −14.3719 + 10.4418i −1.29587 + 0.941502i
\(124\) 0.175855 + 11.6817i 0.0157923 + 1.04905i
\(125\) −1.28595 11.1061i −0.115018 0.993363i
\(126\) −9.47978 + 9.62356i −0.844526 + 0.857335i
\(127\) −2.30575 + 14.5579i −0.204602 + 1.29181i 0.644919 + 0.764251i \(0.276891\pi\)
−0.849521 + 0.527555i \(0.823109\pi\)
\(128\) −10.9292 2.92466i −0.966010 0.258505i
\(129\) −34.3719 11.1681i −3.02628 0.983298i
\(130\) 1.47335 0.0677492i 0.129221 0.00594200i
\(131\) 3.43179 + 1.74859i 0.299837 + 0.152775i 0.597437 0.801916i \(-0.296186\pi\)
−0.297599 + 0.954691i \(0.596186\pi\)
\(132\) −8.76072 + 9.02852i −0.762523 + 0.785832i
\(133\) 2.26568 0.736163i 0.196459 0.0638334i
\(134\) −0.879938 + 1.23050i −0.0760150 + 0.106299i
\(135\) 29.5361 23.2439i 2.54206 2.00052i
\(136\) 1.73830 12.8461i 0.149058 1.10154i
\(137\) −17.4520 + 2.76413i −1.49103 + 0.236156i −0.848127 0.529793i \(-0.822270\pi\)
−0.642902 + 0.765949i \(0.722270\pi\)
\(138\) −18.5981 + 3.08930i −1.58317 + 0.262979i
\(139\) 0.0189005 0.119333i 0.00160312 0.0101217i −0.986874 0.161493i \(-0.948369\pi\)
0.988477 + 0.151372i \(0.0483690\pi\)
\(140\) 2.65664 + 4.58959i 0.224527 + 0.387891i
\(141\) 5.85536 + 36.9693i 0.493110 + 3.11337i
\(142\) −14.2686 + 4.75515i −1.19739 + 0.399044i
\(143\) −0.623913 0.623913i −0.0521743 0.0521743i
\(144\) −10.8748 30.3307i −0.906236 2.52755i
\(145\) 13.9977 7.82353i 1.16244 0.649708i
\(146\) −5.23245 10.0810i −0.433041 0.834307i
\(147\) −5.74754 + 17.6891i −0.474049 + 1.45897i
\(148\) 5.77750 4.33195i 0.474908 0.356084i
\(149\) −2.93217 2.93217i −0.240213 0.240213i 0.576725 0.816938i \(-0.304330\pi\)
−0.816938 + 0.576725i \(0.804330\pi\)
\(150\) −9.12386 21.6684i −0.744960 1.76922i
\(151\) −12.9082 −1.05046 −0.525228 0.850961i \(-0.676020\pi\)
−0.525228 + 0.850961i \(0.676020\pi\)
\(152\) −0.761976 + 5.63102i −0.0618044 + 0.456736i
\(153\) 32.8950 16.7608i 2.65940 1.35503i
\(154\) 0.957616 3.02451i 0.0771669 0.243722i
\(155\) 4.51064 + 12.2585i 0.362303 + 0.984629i
\(156\) 2.93499 1.00272i 0.234987 0.0802821i
\(157\) 6.01381i 0.479954i 0.970779 + 0.239977i \(0.0771399\pi\)
−0.970779 + 0.239977i \(0.922860\pi\)
\(158\) −0.881984 + 0.293931i −0.0701669 + 0.0233839i
\(159\) 33.0759 + 24.0310i 2.62309 + 1.90579i
\(160\) −12.6125 + 0.961117i −0.997109 + 0.0759830i
\(161\) 3.84630 2.79450i 0.303131 0.220238i
\(162\) 26.0953 36.4915i 2.05024 2.86705i
\(163\) −6.30155 + 8.67334i −0.493575 + 0.679348i −0.981042 0.193793i \(-0.937921\pi\)
0.487467 + 0.873141i \(0.337921\pi\)
\(164\) 6.41026 + 8.54932i 0.500557 + 0.667590i
\(165\) −5.89934 + 12.7683i −0.459263 + 0.994007i
\(166\) 4.32480 + 3.09269i 0.335669 + 0.240039i
\(167\) −2.05211 + 4.02749i −0.158797 + 0.311657i −0.956673 0.291165i \(-0.905957\pi\)
0.797876 + 0.602822i \(0.205957\pi\)
\(168\) 8.06143 + 7.70537i 0.621953 + 0.594482i
\(169\) −3.95000 12.1568i −0.303846 0.935142i
\(170\) −2.92240 14.1956i −0.224138 1.08875i
\(171\) −14.4194 + 7.34703i −1.10268 + 0.561842i
\(172\) −6.40579 + 20.7739i −0.488437 + 1.58400i
\(173\) 10.9519 7.95700i 0.832655 0.604959i −0.0876542 0.996151i \(-0.527937\pi\)
0.920309 + 0.391192i \(0.127937\pi\)
\(174\) 23.6643 24.0232i 1.79399 1.82120i
\(175\) 4.50190 + 3.85817i 0.340312 + 0.291650i
\(176\) 5.50947 + 5.18734i 0.415292 + 0.391010i
\(177\) −26.2668 4.16025i −1.97433 0.312703i
\(178\) 0.796796 + 0.252281i 0.0597224 + 0.0189092i
\(179\) 4.88033 2.48665i 0.364773 0.185861i −0.261991 0.965070i \(-0.584379\pi\)
0.626764 + 0.779209i \(0.284379\pi\)
\(180\) −22.7022 27.9709i −1.69212 2.08483i
\(181\) 1.88606 + 0.960994i 0.140190 + 0.0714301i 0.522678 0.852530i \(-0.324933\pi\)
−0.382489 + 0.923960i \(0.624933\pi\)
\(182\) −0.548882 + 0.557207i −0.0406858 + 0.0413029i
\(183\) −20.1556 10.2698i −1.48995 0.759166i
\(184\) 2.02643 + 11.1577i 0.149390 + 0.822558i
\(185\) 4.49108 6.70909i 0.330191 0.493262i
\(186\) 16.3121 + 22.0999i 1.19606 + 1.62045i
\(187\) −5.09636 + 7.01454i −0.372683 + 0.512954i
\(188\) 22.1819 3.85639i 1.61778 0.281256i
\(189\) −3.11800 + 19.6862i −0.226801 + 1.43196i
\(190\) 1.28102 + 6.22256i 0.0929350 + 0.451432i
\(191\) 7.40800 10.1962i 0.536024 0.737774i −0.452009 0.892013i \(-0.649293\pi\)
0.988034 + 0.154239i \(0.0492926\pi\)
\(192\) −24.9009 + 9.35337i −1.79707 + 0.675021i
\(193\) 3.63291 3.63291i 0.261503 0.261503i −0.564162 0.825664i \(-0.690801\pi\)
0.825664 + 0.564162i \(0.190801\pi\)
\(194\) −15.3286 7.66556i −1.10053 0.550355i
\(195\) 2.72501 2.14449i 0.195142 0.153570i
\(196\) 10.6911 + 3.29667i 0.763647 + 0.235476i
\(197\) 3.14811 9.68888i 0.224293 0.690304i −0.774069 0.633101i \(-0.781782\pi\)
0.998363 0.0572032i \(-0.0182183\pi\)
\(198\) −3.21107 + 21.3108i −0.228201 + 1.51449i
\(199\) 4.31588i 0.305945i 0.988230 + 0.152972i \(0.0488845\pi\)
−0.988230 + 0.152972i \(0.951115\pi\)
\(200\) −12.9497 + 5.68368i −0.915685 + 0.401897i
\(201\) 3.55663i 0.250865i
\(202\) 10.1178 + 1.52453i 0.711884 + 0.107265i
\(203\) −2.62780 + 8.08754i −0.184436 + 0.567634i
\(204\) −14.2437 26.9444i −0.997261 1.88649i
\(205\) 9.92785 + 6.64573i 0.693391 + 0.464158i
\(206\) 7.44001 14.8776i 0.518370 1.03657i
\(207\) −22.8373 + 22.8373i −1.58730 + 1.58730i
\(208\) −0.629655 1.75615i −0.0436587 0.121767i
\(209\) 2.23397 3.07480i 0.154527 0.212688i
\(210\) 11.3573 + 5.14406i 0.783727 + 0.354974i
\(211\) 3.96175 25.0135i 0.272738 1.72200i −0.347579 0.937651i \(-0.612996\pi\)
0.620317 0.784351i \(-0.287004\pi\)
\(212\) 14.1539 20.1109i 0.972091 1.38122i
\(213\) −20.7844 + 28.6073i −1.42413 + 1.96014i
\(214\) −17.5565 + 12.9586i −1.20014 + 0.885829i
\(215\) 0.933681 + 24.2871i 0.0636765 + 1.65637i
\(216\) −39.0835 27.0691i −2.65930 1.84182i
\(217\) −6.17186 3.14472i −0.418973 0.213478i
\(218\) −4.79391 4.72229i −0.324685 0.319834i
\(219\) −23.7932 12.1233i −1.60780 0.819214i
\(220\) 7.73280 + 3.43252i 0.521345 + 0.231420i
\(221\) 1.90463 0.970455i 0.128119 0.0652799i
\(222\) 5.12472 16.1858i 0.343949 1.08632i
\(223\) 4.64431 + 0.735586i 0.311006 + 0.0492585i 0.309986 0.950741i \(-0.399675\pi\)
0.00101947 + 0.999999i \(0.499675\pi\)
\(224\) 4.56136 4.91827i 0.304769 0.328615i
\(225\) −34.3058 21.1025i −2.28705 1.40683i
\(226\) −3.70311 3.64778i −0.246327 0.242647i
\(227\) 19.2027 13.9516i 1.27453 0.926001i 0.275157 0.961399i \(-0.411270\pi\)
0.999373 + 0.0353986i \(0.0112701\pi\)
\(228\) 6.24369 + 11.8110i 0.413498 + 0.782201i
\(229\) 4.74108 2.41570i 0.313299 0.159634i −0.290269 0.956945i \(-0.593745\pi\)
0.603569 + 0.797311i \(0.293745\pi\)
\(230\) 6.26888 + 11.0205i 0.413358 + 0.726673i
\(231\) −2.30490 7.09377i −0.151652 0.466736i
\(232\) −14.6629 14.0152i −0.962665 0.920146i
\(233\) −12.3835 + 24.3040i −0.811271 + 1.59221i −0.00549853 + 0.999985i \(0.501750\pi\)
−0.805773 + 0.592225i \(0.798250\pi\)
\(234\) 3.09061 4.32190i 0.202040 0.282531i
\(235\) 21.9730 12.2811i 1.43336 0.801129i
\(236\) −2.26434 + 15.8357i −0.147396 + 1.03081i
\(237\) −1.28475 + 1.76831i −0.0834536 + 0.114864i
\(238\) 6.25177 + 4.47068i 0.405242 + 0.289791i
\(239\) −3.15654 + 2.29336i −0.204179 + 0.148345i −0.685176 0.728377i \(-0.740275\pi\)
0.480997 + 0.876722i \(0.340275\pi\)
\(240\) −22.8061 + 19.0868i −1.47213 + 1.23205i
\(241\) 9.34089 + 6.78655i 0.601700 + 0.437160i 0.846482 0.532418i \(-0.178716\pi\)
−0.244782 + 0.969578i \(0.578716\pi\)
\(242\) 3.31816 + 9.95664i 0.213299 + 0.640037i
\(243\) 55.0488i 3.53138i
\(244\) −5.99422 + 12.2155i −0.383741 + 0.782015i
\(245\) 12.4991 0.480508i 0.798538 0.0306986i
\(246\) 23.9511 + 7.58336i 1.52706 + 0.483497i
\(247\) −0.834885 + 0.425395i −0.0531225 + 0.0270672i
\(248\) 13.1442 10.0109i 0.834657 0.635693i
\(249\) 12.5004 0.792178
\(250\) −11.5570 + 10.7906i −0.730926 + 0.682457i
\(251\) −17.5476 17.5476i −1.10760 1.10760i −0.993466 0.114131i \(-0.963592\pi\)
−0.114131 0.993466i \(-0.536408\pi\)
\(252\) 18.9115 + 2.70415i 1.19131 + 0.170346i
\(253\) 2.34388 7.21373i 0.147359 0.453523i
\(254\) 18.5010 9.60278i 1.16085 0.602532i
\(255\) −25.0025 23.1513i −1.56572 1.44979i
\(256\) 5.85098 + 14.8918i 0.365686 + 0.930738i
\(257\) −5.88515 5.88515i −0.367106 0.367106i 0.499315 0.866421i \(-0.333585\pi\)
−0.866421 + 0.499315i \(0.833585\pi\)
\(258\) 16.1595 + 48.4890i 1.00605 + 3.01879i
\(259\) 0.669760 + 4.22870i 0.0416168 + 0.262758i
\(260\) −1.31446 1.61952i −0.0815196 0.100439i
\(261\) 9.03684 57.0564i 0.559366 3.53170i
\(262\) −0.892561 5.37335i −0.0551426 0.331966i
\(263\) −3.63748 + 0.576121i −0.224297 + 0.0355251i −0.267571 0.963538i \(-0.586221\pi\)
0.0432743 + 0.999063i \(0.486221\pi\)
\(264\) 17.6306 + 2.38573i 1.08509 + 0.146831i
\(265\) 7.48562 26.4564i 0.459838 1.62520i
\(266\) −2.74044 1.95970i −0.168027 0.120157i
\(267\) 1.86883 0.607219i 0.114370 0.0371612i
\(268\) 2.13911 0.0322019i 0.130667 0.00196704i
\(269\) 19.6262 + 10.0000i 1.19663 + 0.609714i 0.934722 0.355379i \(-0.115648\pi\)
0.261908 + 0.965093i \(0.415648\pi\)
\(270\) −51.2534 14.0860i −3.11918 0.857245i
\(271\) −19.7976 6.43264i −1.20262 0.390755i −0.361896 0.932218i \(-0.617871\pi\)
−0.840725 + 0.541463i \(0.817871\pi\)
\(272\) −16.0766 + 8.81077i −0.974787 + 0.534231i
\(273\) −0.287667 + 1.81626i −0.0174104 + 0.109925i
\(274\) 17.8021 + 17.5361i 1.07546 + 1.05939i
\(275\) 9.42859 + 0.758089i 0.568565 + 0.0457145i
\(276\) 19.1345 + 18.5670i 1.15176 + 1.11760i
\(277\) −6.11736 + 4.44452i −0.367556 + 0.267045i −0.756197 0.654344i \(-0.772945\pi\)
0.388641 + 0.921389i \(0.372945\pi\)
\(278\) −0.151655 + 0.0787154i −0.00909566 + 0.00472103i
\(279\) 44.7523 + 14.5409i 2.67925 + 0.870542i
\(280\) 2.99103 6.87735i 0.178748 0.411000i
\(281\) 3.55272 1.15435i 0.211937 0.0688627i −0.201124 0.979566i \(-0.564459\pi\)
0.413062 + 0.910703i \(0.364459\pi\)
\(282\) 37.1473 37.7108i 2.21209 2.24564i
\(283\) −7.40815 22.8000i −0.440369 1.35532i −0.887483 0.460840i \(-0.847548\pi\)
0.447114 0.894477i \(-0.352452\pi\)
\(284\) 17.3939 + 12.2417i 1.03214 + 0.726409i
\(285\) 10.9597 + 10.1483i 0.649199 + 0.601132i
\(286\) −0.185922 + 1.23390i −0.0109938 + 0.0729619i
\(287\) −6.25746 + 0.991085i −0.369366 + 0.0585019i
\(288\) −25.3781 + 37.8467i −1.49542 + 2.23014i
\(289\) −2.35432 3.24045i −0.138490 0.190615i
\(290\) −20.6577 9.35649i −1.21306 0.549432i
\(291\) −39.7982 + 6.30341i −2.33301 + 0.369513i
\(292\) −7.07604 + 14.4201i −0.414094 + 0.843871i
\(293\) 28.7682i 1.68066i 0.542079 + 0.840328i \(0.317637\pi\)
−0.542079 + 0.840328i \(0.682363\pi\)
\(294\) 24.9543 8.31630i 1.45537 0.485017i
\(295\) 3.47434 + 17.5442i 0.202284 + 1.02146i
\(296\) −9.78123 2.93568i −0.568522 0.170633i
\(297\) 14.4363 + 28.3329i 0.837681 + 1.64404i
\(298\) −0.873767 + 5.79889i −0.0506159 + 0.335921i
\(299\) −1.32229 + 1.32229i −0.0764698 + 0.0764698i
\(300\) −16.9925 + 28.5795i −0.981062 + 1.65004i
\(301\) −9.11393 9.11393i −0.525318 0.525318i
\(302\) 10.8409 + 14.6874i 0.623822 + 0.845166i
\(303\) 21.4344 10.9214i 1.23137 0.627416i
\(304\) 7.04711 3.86216i 0.404180 0.221510i
\(305\) −1.80087 + 15.1060i −0.103117 + 0.864969i
\(306\) −46.6976 23.3526i −2.66952 1.33498i
\(307\) 12.0586 0.688219 0.344109 0.938930i \(-0.388181\pi\)
0.344109 + 0.938930i \(0.388181\pi\)
\(308\) −4.24563 + 1.45050i −0.241917 + 0.0826498i
\(309\) −6.11794 38.6272i −0.348038 2.19742i
\(310\) 10.1599 15.4276i 0.577046 0.876227i
\(311\) −11.1979 + 8.13576i −0.634975 + 0.461337i −0.858120 0.513449i \(-0.828368\pi\)
0.223145 + 0.974785i \(0.428368\pi\)
\(312\) −3.60586 2.49740i −0.204142 0.141388i
\(313\) −4.52131 28.5464i −0.255560 1.61354i −0.697561 0.716525i \(-0.745731\pi\)
0.442002 0.897014i \(-0.354269\pi\)
\(314\) 6.84272 5.05065i 0.386157 0.285024i
\(315\) 20.9519 4.14918i 1.18051 0.233780i
\(316\) 1.07517 + 0.756696i 0.0604831 + 0.0425675i
\(317\) 4.45180 1.44648i 0.250038 0.0812422i −0.181317 0.983425i \(-0.558036\pi\)
0.431354 + 0.902183i \(0.358036\pi\)
\(318\) −0.435161 57.8172i −0.0244026 3.24222i
\(319\) 4.19237 + 12.9028i 0.234728 + 0.722418i
\(320\) 11.6861 + 13.5438i 0.653274 + 0.757121i
\(321\) −15.8536 + 48.7923i −0.884861 + 2.72332i
\(322\) −6.40997 2.02952i −0.357214 0.113101i
\(323\) 5.41211 + 7.44914i 0.301138 + 0.414481i
\(324\) −63.4372 + 0.954974i −3.52429 + 0.0530541i
\(325\) −1.98632 1.22184i −0.110181 0.0677755i
\(326\) 15.1611 0.114110i 0.839697 0.00631997i
\(327\) −15.6261 2.47494i −0.864128 0.136864i
\(328\) 4.34411 14.4739i 0.239863 0.799187i
\(329\) −4.12503 + 12.6955i −0.227420 + 0.699927i
\(330\) 19.4827 4.01084i 1.07249 0.220789i
\(331\) −9.66589 + 18.9704i −0.531286 + 1.04271i 0.456911 + 0.889513i \(0.348956\pi\)
−0.988196 + 0.153194i \(0.951044\pi\)
\(332\) −0.113179 7.51827i −0.00621149 0.412618i
\(333\) −8.98758 27.6609i −0.492516 1.51581i
\(334\) 6.30607 1.04749i 0.345053 0.0573163i
\(335\) 2.24473 0.825970i 0.122643 0.0451276i
\(336\) 1.99711 15.6439i 0.108951 0.853443i
\(337\) −2.12102 13.3916i −0.115539 0.729487i −0.975642 0.219367i \(-0.929601\pi\)
0.860103 0.510120i \(-0.170399\pi\)
\(338\) −10.5151 + 14.7043i −0.571946 + 0.799807i
\(339\) −12.0706 1.91179i −0.655584 0.103834i
\(340\) −13.6978 + 15.2472i −0.742870 + 0.826896i
\(341\) −10.9150 + 1.72876i −0.591079 + 0.0936177i
\(342\) 20.4697 + 10.2365i 1.10687 + 0.553527i
\(343\) −10.5598 + 10.5598i −0.570173 + 0.570173i
\(344\) 29.0171 10.1581i 1.56450 0.547686i
\(345\) 27.0603 + 12.5027i 1.45688 + 0.673124i
\(346\) −18.2516 5.77879i −0.981211 0.310670i
\(347\) 12.6700 + 4.11674i 0.680163 + 0.220998i 0.628667 0.777675i \(-0.283601\pi\)
0.0514964 + 0.998673i \(0.483601\pi\)
\(348\) −47.2087 6.75036i −2.53065 0.361857i
\(349\) −5.71033 + 5.71033i −0.305667 + 0.305667i −0.843226 0.537559i \(-0.819346\pi\)
0.537559 + 0.843226i \(0.319346\pi\)
\(350\) 0.609075 8.36267i 0.0325564 0.447004i
\(351\) 7.83966i 0.418450i
\(352\) 1.27525 10.6254i 0.0679712 0.566336i
\(353\) −1.24042 2.43446i −0.0660209 0.129573i 0.855638 0.517575i \(-0.173165\pi\)
−0.921658 + 0.388002i \(0.873165\pi\)
\(354\) 17.3263 + 33.3812i 0.920880 + 1.77419i
\(355\) 22.8821 + 6.47431i 1.21446 + 0.343621i
\(356\) −0.382128 1.11850i −0.0202528 0.0592802i
\(357\) 18.0701 0.956370
\(358\) −6.92810 3.46461i −0.366161 0.183110i
\(359\) −4.81928 + 6.63317i −0.254352 + 0.350085i −0.917029 0.398819i \(-0.869420\pi\)
0.662678 + 0.748905i \(0.269420\pi\)
\(360\) −12.7600 + 49.3225i −0.672512 + 2.59952i
\(361\) 8.79554 + 12.1060i 0.462923 + 0.637159i
\(362\) −0.490537 2.95310i −0.0257820 0.155212i
\(363\) 19.9623 + 14.5035i 1.04775 + 0.761234i
\(364\) 1.09498 + 0.156571i 0.0573927 + 0.00820656i
\(365\) −2.12588 + 17.8323i −0.111274 + 0.933386i
\(366\) 5.24220 + 31.5588i 0.274014 + 1.64960i
\(367\) 3.17869 + 1.61962i 0.165926 + 0.0845435i 0.534981 0.844864i \(-0.320319\pi\)
−0.369055 + 0.929407i \(0.620319\pi\)
\(368\) 10.9937 11.6765i 0.573089 0.608677i
\(369\) 40.9316 13.2995i 2.13081 0.692343i
\(370\) −11.4056 + 0.524468i −0.592950 + 0.0272658i
\(371\) 6.61948 + 12.9915i 0.343666 + 0.674483i
\(372\) 11.4465 37.1209i 0.593474 1.92463i
\(373\) −6.68826 9.20559i −0.346305 0.476648i 0.599965 0.800026i \(-0.295181\pi\)
−0.946270 + 0.323379i \(0.895181\pi\)
\(374\) 12.2615 0.0922863i 0.634028 0.00477201i
\(375\) −7.34475 + 36.4413i −0.379281 + 1.88182i
\(376\) −23.0172 22.0006i −1.18702 1.13459i
\(377\) 0.523235 3.30358i 0.0269480 0.170143i
\(378\) 25.0183 12.9856i 1.28680 0.667905i
\(379\) −0.0743794 0.145978i −0.00382061 0.00749837i 0.889088 0.457736i \(-0.151339\pi\)
−0.892909 + 0.450237i \(0.851339\pi\)
\(380\) 6.00439 6.68355i 0.308019 0.342859i
\(381\) 22.2491 43.6662i 1.13985 2.23709i
\(382\) −17.8232 + 0.134146i −0.911913 + 0.00686351i
\(383\) 1.83153 3.59458i 0.0935867 0.183674i −0.839468 0.543410i \(-0.817133\pi\)
0.933054 + 0.359735i \(0.117133\pi\)
\(384\) 31.5554 + 20.4777i 1.61030 + 1.04500i
\(385\) −3.94189 + 3.10213i −0.200897 + 0.158099i
\(386\) −7.18472 1.08258i −0.365693 0.0551019i
\(387\) 70.8357 + 51.4652i 3.60078 + 2.61612i
\(388\) 4.15148 + 23.8793i 0.210760 + 1.21229i
\(389\) 10.1025 + 1.60008i 0.512218 + 0.0811274i 0.407193 0.913342i \(-0.366508\pi\)
0.105025 + 0.994470i \(0.466508\pi\)
\(390\) −4.72865 1.29958i −0.239445 0.0658066i
\(391\) 14.8662 + 10.8009i 0.751817 + 0.546227i
\(392\) −5.22773 14.9333i −0.264040 0.754247i
\(393\) −9.05547 9.05547i −0.456788 0.456788i
\(394\) −13.6683 + 4.55510i −0.688597 + 0.229483i
\(395\) 1.41441 + 0.400197i 0.0711669 + 0.0201361i
\(396\) 26.9449 14.2440i 1.35403 0.715787i
\(397\) 20.8236 + 6.76601i 1.04511 + 0.339576i 0.780747 0.624848i \(-0.214839\pi\)
0.264361 + 0.964424i \(0.414839\pi\)
\(398\) 4.91075 3.62465i 0.246154 0.181687i
\(399\) −7.92095 −0.396543
\(400\) 17.3428 + 9.96127i 0.867141 + 0.498063i
\(401\) −27.6037 −1.37847 −0.689233 0.724540i \(-0.742052\pi\)
−0.689233 + 0.724540i \(0.742052\pi\)
\(402\) 4.04685 2.98700i 0.201839 0.148978i
\(403\) 2.59117 + 0.841923i 0.129075 + 0.0419392i
\(404\) −6.76266 12.7927i −0.336455 0.636461i
\(405\) −66.5695 + 24.4949i −3.30786 + 1.21716i
\(406\) 11.4092 3.80225i 0.566230 0.188702i
\(407\) 4.82991 + 4.82991i 0.239410 + 0.239410i
\(408\) −18.6958 + 38.8361i −0.925580 + 1.92267i
\(409\) −7.69666 5.59195i −0.380575 0.276504i 0.381007 0.924572i \(-0.375577\pi\)
−0.761583 + 0.648068i \(0.775577\pi\)
\(410\) −0.776087 16.8776i −0.0383282 0.833525i
\(411\) 58.0273 + 9.19061i 2.86227 + 0.453340i
\(412\) −23.1767 + 4.02933i −1.14183 + 0.198511i
\(413\) −7.67305 5.57479i −0.377566 0.274318i
\(414\) 45.1648 + 6.80535i 2.21973 + 0.334465i
\(415\) −2.90301 7.88948i −0.142503 0.387279i
\(416\) −1.46940 + 2.19133i −0.0720433 + 0.107439i
\(417\) −0.182379 + 0.357938i −0.00893112 + 0.0175283i
\(418\) −5.37479 + 0.0404533i −0.262889 + 0.00197864i
\(419\) −0.781132 + 1.53306i −0.0381608 + 0.0748947i −0.909300 0.416142i \(-0.863382\pi\)
0.871139 + 0.491037i \(0.163382\pi\)
\(420\) −3.68523 17.2429i −0.179821 0.841368i
\(421\) −6.32106 12.4058i −0.308070 0.604621i 0.684119 0.729371i \(-0.260187\pi\)
−0.992188 + 0.124750i \(0.960187\pi\)
\(422\) −31.7885 + 16.4996i −1.54744 + 0.803187i
\(423\) 14.1857 89.5649i 0.689732 4.35480i
\(424\) −34.7698 + 0.785204i −1.68857 + 0.0381329i
\(425\) −8.80529 + 21.1566i −0.427119 + 1.02625i
\(426\) 50.0060 0.376370i 2.42280 0.0182352i
\(427\) −4.74196 6.52674i −0.229479 0.315851i
\(428\) 29.4894 + 9.09328i 1.42542 + 0.439540i
\(429\) 1.33190 + 2.61400i 0.0643047 + 0.126205i
\(430\) 26.8506 21.4597i 1.29485 1.03488i
\(431\) −15.5422 + 5.04998i −0.748643 + 0.243249i −0.658397 0.752671i \(-0.728765\pi\)
−0.0902456 + 0.995920i \(0.528765\pi\)
\(432\) 2.02383 + 67.2043i 0.0973714 + 3.23337i
\(433\) 9.02855 + 4.60028i 0.433884 + 0.221075i 0.657270 0.753655i \(-0.271711\pi\)
−0.223386 + 0.974730i \(0.571711\pi\)
\(434\) 1.60521 + 9.66362i 0.0770528 + 0.463869i
\(435\) −52.3021 + 10.3576i −2.50769 + 0.496608i
\(436\) −1.34706 + 9.42066i −0.0645123 + 0.451168i
\(437\) −6.51655 4.73455i −0.311729 0.226484i
\(438\) 6.18829 + 37.2544i 0.295688 + 1.78008i
\(439\) −5.35100 7.36502i −0.255389 0.351513i 0.662000 0.749504i \(-0.269708\pi\)
−0.917390 + 0.397990i \(0.869708\pi\)
\(440\) −2.58869 11.6814i −0.123411 0.556890i
\(441\) 26.4860 36.4548i 1.26124 1.73594i
\(442\) −2.70380 1.35212i −0.128607 0.0643138i
\(443\) 19.5696 0.929780 0.464890 0.885369i \(-0.346094\pi\)
0.464890 + 0.885369i \(0.346094\pi\)
\(444\) −22.7207 + 7.76239i −1.07827 + 0.368387i
\(445\) −0.817246 1.03848i −0.0387412 0.0492285i
\(446\) −3.06351 5.90223i −0.145061 0.279479i
\(447\) 6.25946 + 12.2849i 0.296062 + 0.581055i
\(448\) −9.42699 1.05951i −0.445383 0.0500572i
\(449\) 5.86108i 0.276601i −0.990390 0.138301i \(-0.955836\pi\)
0.990390 0.138301i \(-0.0441640\pi\)
\(450\) 4.80030 + 56.7571i 0.226288 + 2.67555i
\(451\) −7.14711 + 7.14711i −0.336544 + 0.336544i
\(452\) −1.04055 + 7.27709i −0.0489433 + 0.342285i
\(453\) 40.8186 + 13.2628i 1.91783 + 0.623140i
\(454\) −32.0019 10.1324i −1.50192 0.475537i
\(455\) 1.21312 0.240239i 0.0568720 0.0112626i
\(456\) 8.19523 17.0236i 0.383777 0.797204i
\(457\) −22.6879 + 22.6879i −1.06130 + 1.06130i −0.0633005 + 0.997995i \(0.520163\pi\)
−0.997995 + 0.0633005i \(0.979837\pi\)
\(458\) −6.73042 3.36575i −0.314492 0.157271i
\(459\) −76.0886 + 12.0513i −3.55151 + 0.562504i
\(460\) 7.27468 16.3885i 0.339184 0.764116i
\(461\) −19.5628 3.09844i −0.911129 0.144309i −0.316764 0.948504i \(-0.602596\pi\)
−0.594365 + 0.804196i \(0.702596\pi\)
\(462\) −6.13578 + 8.58024i −0.285462 + 0.399189i
\(463\) 3.82976 + 24.1801i 0.177984 + 1.12375i 0.901289 + 0.433218i \(0.142622\pi\)
−0.723305 + 0.690529i \(0.757378\pi\)
\(464\) −3.63253 + 28.4545i −0.168636 + 1.32097i
\(465\) −1.66839 43.3987i −0.0773700 2.01257i
\(466\) 38.0541 6.32113i 1.76282 0.292821i
\(467\) −9.86285 30.3547i −0.456398 1.40465i −0.869486 0.493958i \(-0.835550\pi\)
0.413088 0.910691i \(-0.364450\pi\)
\(468\) −7.51323 + 0.113103i −0.347299 + 0.00522819i
\(469\) −0.575849 + 1.13017i −0.0265902 + 0.0521863i
\(470\) −32.4277 14.6875i −1.49578 0.677482i
\(471\) 6.17899 19.0170i 0.284713 0.876256i
\(472\) 19.9200 10.7230i 0.916894 0.493566i
\(473\) −20.3099 3.21677i −0.933851 0.147907i
\(474\) 3.09103 0.0232646i 0.141976 0.00106858i
\(475\) 3.85976 9.27391i 0.177098 0.425516i
\(476\) −0.163607 10.8681i −0.00749893 0.498140i
\(477\) −58.2197 80.1325i −2.66570 3.66902i
\(478\) 5.26045 + 1.66556i 0.240608 + 0.0761809i
\(479\) −3.76877 + 11.5991i −0.172199 + 0.529975i −0.999494 0.0317923i \(-0.989878\pi\)
0.827295 + 0.561768i \(0.189878\pi\)
\(480\) 40.8711 + 9.91971i 1.86550 + 0.452771i
\(481\) −0.520383 1.60157i −0.0237274 0.0730255i
\(482\) −0.122893 16.3280i −0.00559761 0.743721i
\(483\) −15.0341 + 4.88488i −0.684076 + 0.222270i
\(484\) 8.54227 12.1375i 0.388285 0.551705i
\(485\) 13.2208 + 23.6544i 0.600327 + 1.07409i
\(486\) −62.6364 + 46.2322i −2.84124 + 2.09714i
\(487\) 2.25680 + 14.2489i 0.102265 + 0.645679i 0.984569 + 0.174998i \(0.0559917\pi\)
−0.882303 + 0.470681i \(0.844008\pi\)
\(488\) 18.9334 3.43862i 0.857074 0.155659i
\(489\) 28.8384 20.9524i 1.30412 0.947498i
\(490\) −11.0440 13.8183i −0.498917 0.624249i
\(491\) 2.88481 + 18.2140i 0.130190 + 0.821986i 0.963211 + 0.268745i \(0.0866090\pi\)
−0.833021 + 0.553241i \(0.813391\pi\)
\(492\) −11.4865 33.6212i −0.517851 1.51576i
\(493\) −32.8675 −1.48028
\(494\) 1.18520 + 0.592696i 0.0533247 + 0.0266667i
\(495\) 23.1517 25.0029i 1.04059 1.12380i
\(496\) −22.4298 6.54834i −1.00713 0.294029i
\(497\) −11.2363 + 5.72519i −0.504018 + 0.256810i
\(498\) −10.4983 14.2233i −0.470441 0.637363i
\(499\) −14.9783 14.9783i −0.670521 0.670521i 0.287315 0.957836i \(-0.407237\pi\)
−0.957836 + 0.287315i \(0.907237\pi\)
\(500\) 21.9839 + 4.08752i 0.983150 + 0.182799i
\(501\) 10.6273 10.6273i 0.474795 0.474795i
\(502\) −5.22907 + 34.7035i −0.233385 + 1.54889i
\(503\) −5.33302 10.4666i −0.237787 0.466684i 0.741016 0.671488i \(-0.234344\pi\)
−0.978803 + 0.204804i \(0.934344\pi\)
\(504\) −12.8058 23.7892i −0.570416 1.05966i
\(505\) −11.8707 10.9918i −0.528240 0.489129i
\(506\) −10.1765 + 3.39144i −0.452401 + 0.150768i
\(507\) 42.5011i 1.88754i
\(508\) −26.4642 12.9862i −1.17416 0.576170i
\(509\) 12.1064 1.91747i 0.536607 0.0849902i 0.117751 0.993043i \(-0.462431\pi\)
0.418855 + 0.908053i \(0.362431\pi\)
\(510\) −5.34421 + 47.8921i −0.236646 + 2.12070i
\(511\) −5.59777 7.70466i −0.247631 0.340834i
\(512\) 12.0305 19.1642i 0.531679 0.846946i
\(513\) 33.3531 5.28262i 1.47258 0.233233i
\(514\) −1.75373 + 11.6389i −0.0773539 + 0.513371i
\(515\) −22.9584 + 12.8318i −1.01167 + 0.565438i
\(516\) 41.6010 59.1099i 1.83138 2.60217i
\(517\) 6.58103 + 20.2543i 0.289433 + 0.890784i
\(518\) 4.24906 4.31351i 0.186693 0.189525i
\(519\) −42.8078 + 13.9091i −1.87905 + 0.610541i
\(520\) −0.738809 + 2.85578i −0.0323989 + 0.125234i
\(521\) 7.42280 + 2.41181i 0.325199 + 0.105664i 0.467067 0.884222i \(-0.345311\pi\)
−0.141868 + 0.989886i \(0.545311\pi\)
\(522\) −72.5102 + 37.6359i −3.17368 + 1.64728i
\(523\) −15.2741 + 11.0973i −0.667891 + 0.485251i −0.869319 0.494252i \(-0.835442\pi\)
0.201427 + 0.979503i \(0.435442\pi\)
\(524\) −5.36437 + 5.52834i −0.234343 + 0.241507i
\(525\) −10.2719 16.8259i −0.448301 0.734344i
\(526\) 3.71044 + 3.65500i 0.161783 + 0.159366i
\(527\) 4.18817 26.4431i 0.182440 1.15188i
\(528\) −12.0923 22.0643i −0.526251 0.960226i
\(529\) 6.58595 + 2.13990i 0.286345 + 0.0930393i
\(530\) −36.3897 + 13.7018i −1.58067 + 0.595166i
\(531\) 57.4070 + 29.2503i 2.49125 + 1.26936i
\(532\) 0.0717166 + 4.76401i 0.00310931 + 0.206546i
\(533\) 2.36995 0.770043i 0.102654 0.0333543i
\(534\) −2.26043 1.61645i −0.0978185 0.0699505i
\(535\) 34.4766 1.32540i 1.49055 0.0573020i
\(536\) −1.83316 2.40691i −0.0791803 0.103963i
\(537\) −17.9876 + 2.84896i −0.776223 + 0.122942i
\(538\) −5.10450 30.7298i −0.220070 1.32486i
\(539\) −1.65548 + 10.4523i −0.0713064 + 0.450211i
\(540\) 27.0172 + 70.1478i 1.16264 + 3.01868i
\(541\) −4.52509 28.5703i −0.194549 1.22833i −0.870791 0.491654i \(-0.836392\pi\)
0.676242 0.736680i \(-0.263608\pi\)
\(542\) 9.30760 + 27.9288i 0.399795 + 1.19965i
\(543\) −4.97674 4.97674i −0.213572 0.213572i
\(544\) 23.5270 + 10.8929i 1.00871 + 0.467027i
\(545\) 2.06689 + 10.4371i 0.0885358 + 0.447074i
\(546\) 2.30820 1.19805i 0.0987816 0.0512719i
\(547\) 10.0177 30.8314i 0.428327 1.31825i −0.471446 0.881895i \(-0.656268\pi\)
0.899773 0.436359i \(-0.143732\pi\)
\(548\) 5.00226 34.9834i 0.213686 1.49441i
\(549\) 38.7523 + 38.7523i 1.65391 + 1.65391i
\(550\) −7.05594 11.3648i −0.300866 0.484599i
\(551\) 14.4073 0.613774
\(552\) 5.05617 37.3652i 0.215205 1.59037i
\(553\) −0.694552 + 0.353892i −0.0295353 + 0.0150490i
\(554\) 10.1947 + 3.22785i 0.433133 + 0.137138i
\(555\) −21.0951 + 16.6012i −0.895439 + 0.704680i
\(556\) 0.216931 + 0.106450i 0.00919993 + 0.00451448i
\(557\) 14.7937i 0.626830i −0.949616 0.313415i \(-0.898527\pi\)
0.949616 0.313415i \(-0.101473\pi\)
\(558\) −21.0397 63.1328i −0.890682 2.67262i
\(559\) 4.10141 + 2.97985i 0.173471 + 0.126034i
\(560\) −10.3373 + 2.37258i −0.436830 + 0.100260i
\(561\) 23.3230 16.9452i 0.984699 0.715426i
\(562\) −4.29718 3.07294i −0.181266 0.129624i
\(563\) 6.59178 9.07281i 0.277811 0.382373i −0.647197 0.762323i \(-0.724059\pi\)
0.925007 + 0.379950i \(0.124059\pi\)
\(564\) −74.1065 10.5965i −3.12044 0.446191i
\(565\) 1.59659 + 8.06222i 0.0671691 + 0.339180i
\(566\) −19.7209 + 27.5776i −0.828931 + 1.15917i
\(567\) 17.0773 33.5161i 0.717179 1.40754i
\(568\) −0.679123 30.0724i −0.0284954 1.26181i
\(569\) −8.64537 26.6077i −0.362433 1.11545i −0.951573 0.307422i \(-0.900534\pi\)
0.589140 0.808031i \(-0.299466\pi\)
\(570\) 2.34261 20.9933i 0.0981212 0.879313i
\(571\) −8.53775 + 4.35020i −0.357294 + 0.182050i −0.623419 0.781888i \(-0.714257\pi\)
0.266125 + 0.963939i \(0.414257\pi\)
\(572\) 1.56012 0.824731i 0.0652317 0.0344837i
\(573\) −33.9020 + 24.6313i −1.41628 + 1.02899i
\(574\) 6.38296 + 6.28760i 0.266420 + 0.262439i
\(575\) 1.60665 19.9824i 0.0670019 0.833324i
\(576\) 64.3769 2.90912i 2.68237 0.121213i
\(577\) 16.0898 + 2.54837i 0.669826 + 0.106090i 0.482079 0.876128i \(-0.339882\pi\)
0.187746 + 0.982218i \(0.439882\pi\)
\(578\) −1.70983 + 5.40029i −0.0711198 + 0.224623i
\(579\) −15.2208 + 7.75536i −0.632553 + 0.322302i
\(580\) 6.70304 + 31.3630i 0.278329 + 1.30228i
\(581\) 3.97216 + 2.02392i 0.164793 + 0.0839662i
\(582\) 40.5964 + 39.9899i 1.68277 + 1.65763i
\(583\) 20.7265 + 10.5607i 0.858403 + 0.437378i
\(584\) 22.3504 4.05921i 0.924866 0.167971i
\(585\) −7.88420 + 2.90106i −0.325972 + 0.119944i
\(586\) 32.7334 24.1607i 1.35221 0.998070i
\(587\) 11.0850 15.2573i 0.457529 0.629734i −0.516465 0.856308i \(-0.672753\pi\)
0.973994 + 0.226574i \(0.0727525\pi\)
\(588\) −30.4202 21.4095i −1.25451 0.882913i
\(589\) −1.83587 + 11.5912i −0.0756456 + 0.477608i
\(590\) 17.0445 18.6875i 0.701710 0.769354i
\(591\) −19.9100 + 27.4038i −0.818989 + 1.12724i
\(592\) 4.87436 + 13.5949i 0.200335 + 0.558748i
\(593\) −0.882603 + 0.882603i −0.0362442 + 0.0362442i −0.724997 0.688752i \(-0.758159\pi\)
0.688752 + 0.724997i \(0.258159\pi\)
\(594\) 20.1139 40.2213i 0.825284 1.65030i
\(595\) −4.19649 11.4048i −0.172039 0.467550i
\(596\) 7.33200 3.87594i 0.300330 0.158765i
\(597\) 4.43442 13.6478i 0.181489 0.558565i
\(598\) 2.61505 + 0.394032i 0.106937 + 0.0161132i
\(599\) 19.2766i 0.787620i −0.919192 0.393810i \(-0.871157\pi\)
0.919192 0.393810i \(-0.128843\pi\)
\(600\) 46.7897 4.66760i 1.91018 0.190554i
\(601\) 10.4934i 0.428036i −0.976830 0.214018i \(-0.931345\pi\)
0.976830 0.214018i \(-0.0686552\pi\)
\(602\) −2.71589 + 18.0244i −0.110691 + 0.734620i
\(603\) 2.66267 8.19487i 0.108432 0.333721i
\(604\) 7.60725 24.6702i 0.309534 1.00382i
\(605\) 4.51779 15.9672i 0.183674 0.649159i
\(606\) −30.4282 15.2166i −1.23606 0.618131i
\(607\) −0.383266 + 0.383266i −0.0155563 + 0.0155563i −0.714842 0.699286i \(-0.753501\pi\)
0.699286 + 0.714842i \(0.253501\pi\)
\(608\) −10.3130 4.77484i −0.418246 0.193645i
\(609\) 16.6194 22.8746i 0.673451 0.926926i
\(610\) 18.7006 10.6376i 0.757165 0.430703i
\(611\) 0.821355 5.18583i 0.0332285 0.209796i
\(612\) 12.6472 + 72.7465i 0.511232 + 2.94060i
\(613\) −7.92274 + 10.9047i −0.319996 + 0.440437i −0.938466 0.345371i \(-0.887753\pi\)
0.618470 + 0.785809i \(0.287753\pi\)
\(614\) −10.1273 13.7207i −0.408704 0.553720i
\(615\) −24.5658 31.2158i −0.990588 1.25874i
\(616\) 5.21609 + 3.61264i 0.210162 + 0.145557i
\(617\) −8.54671 4.35477i −0.344078 0.175316i 0.273409 0.961898i \(-0.411849\pi\)
−0.617486 + 0.786582i \(0.711849\pi\)
\(618\) −38.8132 + 39.4019i −1.56130 + 1.58498i
\(619\) 1.29858 + 0.661661i 0.0521945 + 0.0265944i 0.479893 0.877327i \(-0.340675\pi\)
−0.427698 + 0.903921i \(0.640675\pi\)
\(620\) −26.0868 + 1.39638i −1.04767 + 0.0560800i
\(621\) 60.0471 30.5955i 2.40961 1.22776i
\(622\) 18.6616 + 5.90862i 0.748263 + 0.236914i
\(623\) 0.692159 + 0.109627i 0.0277308 + 0.00439212i
\(624\) 0.186719 + 6.20029i 0.00747473 + 0.248210i
\(625\) 24.7053 3.82734i 0.988212 0.153094i
\(626\) −28.6839 + 29.1190i −1.14644 + 1.16383i
\(627\) −10.2236 + 7.42785i −0.408289 + 0.296640i
\(628\) −11.4936 3.54414i −0.458644 0.141426i
\(629\) −14.7443 + 7.51260i −0.587894 + 0.299547i
\(630\) −22.3173 20.3551i −0.889145 0.810968i
\(631\) −10.8006 33.2409i −0.429967 1.32330i −0.898158 0.439674i \(-0.855094\pi\)
0.468191 0.883627i \(-0.344906\pi\)
\(632\) −0.0419787 1.85887i −0.00166982 0.0739419i
\(633\) −38.2285 + 75.0277i −1.51945 + 2.98208i
\(634\) −5.38465 3.85060i −0.213852 0.152927i
\(635\) −32.7265 3.90150i −1.29871 0.154826i
\(636\) −65.4209 + 49.0524i −2.59411 + 1.94505i
\(637\) 1.53354 2.11074i 0.0607612 0.0836307i
\(638\) 11.1603 15.6065i 0.441841 0.617868i
\(639\) 69.3066 50.3542i 2.74173 1.99198i
\(640\) 5.59610 24.6715i 0.221205 0.975227i
\(641\) −4.11252 2.98792i −0.162435 0.118016i 0.503598 0.863938i \(-0.332009\pi\)
−0.666033 + 0.745922i \(0.732009\pi\)
\(642\) 68.8321 22.9391i 2.71659 0.905333i
\(643\) 10.0684i 0.397057i 0.980095 + 0.198529i \(0.0636163\pi\)
−0.980095 + 0.198529i \(0.936384\pi\)
\(644\) 3.07410 + 8.99795i 0.121137 + 0.354569i
\(645\) 22.0017 77.7606i 0.866317 3.06182i
\(646\) 3.93056 12.4142i 0.154646 0.488429i
\(647\) −10.2169 + 5.20579i −0.401669 + 0.204661i −0.643142 0.765747i \(-0.722370\pi\)
0.241473 + 0.970408i \(0.422370\pi\)
\(648\) 54.3638 + 71.3790i 2.13561 + 2.80403i
\(649\) −15.1313 −0.593957
\(650\) 0.277938 + 3.28625i 0.0109016 + 0.128897i
\(651\) 16.2857 + 16.2857i 0.638286 + 0.638286i
\(652\) −12.8628 17.1550i −0.503745 0.671842i
\(653\) −15.4036 + 47.4075i −0.602791 + 1.85520i −0.0914754 + 0.995807i \(0.529158\pi\)
−0.511316 + 0.859393i \(0.670842\pi\)
\(654\) 10.3074 + 19.8585i 0.403052 + 0.776529i
\(655\) −3.61228 + 7.81826i −0.141144 + 0.305485i
\(656\) −20.1172 + 7.21289i −0.785446 + 0.281616i
\(657\) 45.7462 + 45.7462i 1.78473 + 1.78473i
\(658\) 17.9098 5.96863i 0.698195 0.232681i
\(659\) 6.73850 + 42.5452i 0.262495 + 1.65733i 0.668691 + 0.743540i \(0.266855\pi\)
−0.406196 + 0.913786i \(0.633145\pi\)
\(660\) −20.9260 18.7996i −0.814544 0.731773i
\(661\) −0.778541 + 4.91551i −0.0302817 + 0.191191i −0.998192 0.0601044i \(-0.980857\pi\)
0.967910 + 0.251296i \(0.0808566\pi\)
\(662\) 29.7030 4.93393i 1.15444 0.191763i
\(663\) −7.01996 + 1.11185i −0.272633 + 0.0431807i
\(664\) −8.45949 + 6.44293i −0.328292 + 0.250034i
\(665\) 1.83951 + 4.99923i 0.0713333 + 0.193862i
\(666\) −23.9254 + 33.4572i −0.927091 + 1.29644i
\(667\) 27.3454 8.88507i 1.05882 0.344031i
\(668\) −6.48797 6.29553i −0.251027 0.243581i
\(669\) −13.9305 7.09796i −0.538585 0.274423i
\(670\) −2.82504 1.86045i −0.109141 0.0718754i
\(671\) −12.2409 3.97730i −0.472554 0.153542i
\(672\) −19.4774 + 10.8660i −0.751356 + 0.419164i
\(673\) −1.86504 + 11.7754i −0.0718921 + 0.453909i 0.925314 + 0.379203i \(0.123802\pi\)
−0.997206 + 0.0747059i \(0.976198\pi\)
\(674\) −13.4561 + 13.6602i −0.518310 + 0.526171i
\(675\) 54.4738 + 63.9994i 2.09670 + 2.46334i
\(676\) 25.5620 0.384807i 0.983155 0.0148003i
\(677\) −28.8716 + 20.9764i −1.10962 + 0.806189i −0.982604 0.185711i \(-0.940541\pi\)
−0.127020 + 0.991900i \(0.540541\pi\)
\(678\) 7.96207 + 15.3399i 0.305781 + 0.589126i
\(679\) −13.6670 4.44067i −0.524491 0.170417i
\(680\) 28.8528 + 2.78062i 1.10645 + 0.106632i
\(681\) −75.0581 + 24.3878i −2.87623 + 0.934544i
\(682\) 11.1339 + 10.9675i 0.426339 + 0.419969i
\(683\) −5.02046 15.4514i −0.192103 0.591231i −0.999998 0.00190538i \(-0.999393\pi\)
0.807896 0.589326i \(-0.200607\pi\)
\(684\) −5.54384 31.8881i −0.211974 1.21927i
\(685\) −7.67533 38.7577i −0.293259 1.48086i
\(686\) 20.8838 + 3.14673i 0.797346 + 0.120143i
\(687\) −17.4744 + 2.76767i −0.666689 + 0.105593i
\(688\) −35.9280 24.4855i −1.36974 0.933501i
\(689\) −3.37093 4.63969i −0.128422 0.176758i
\(690\) −8.50034 41.2904i −0.323602 1.57190i
\(691\) −27.9200 + 4.42210i −1.06213 + 0.168225i −0.662961 0.748654i \(-0.730701\pi\)
−0.399167 + 0.916878i \(0.630701\pi\)
\(692\) 8.75312 + 25.6205i 0.332744 + 0.973946i
\(693\) 18.0704i 0.686438i
\(694\) −5.95665 17.8738i −0.226111 0.678481i
\(695\) 0.268264 + 0.0319811i 0.0101758 + 0.00121311i
\(696\) 31.9670 + 59.3849i 1.21171 + 2.25098i
\(697\) −11.1169 21.8181i −0.421081 0.826418i
\(698\) 11.2932 + 1.70164i 0.427453 + 0.0644079i
\(699\) 64.1310 64.1310i 2.42566 2.42566i
\(700\) −10.0269 + 6.33029i −0.378980 + 0.239262i
\(701\) 29.5303 + 29.5303i 1.11534 + 1.11534i 0.992416 + 0.122927i \(0.0392282\pi\)
0.122927 + 0.992416i \(0.460772\pi\)
\(702\) −8.92024 + 6.58407i −0.336673 + 0.248500i
\(703\) 6.46310 3.29312i 0.243761 0.124202i
\(704\) −13.1610 + 7.47263i −0.496022 + 0.281635i
\(705\) −82.1018 + 16.2589i −3.09213 + 0.612347i
\(706\) −1.72826 + 3.45596i −0.0650439 + 0.130067i
\(707\) 8.57934 0.322659
\(708\) 23.4310 47.7493i 0.880589 1.79453i
\(709\) −2.85884 18.0500i −0.107366 0.677883i −0.981394 0.192006i \(-0.938501\pi\)
0.874028 0.485876i \(-0.161499\pi\)
\(710\) −11.8506 31.4734i −0.444747 1.18118i
\(711\) 4.28406 3.11255i 0.160665 0.116730i
\(712\) −0.951737 + 1.37416i −0.0356678 + 0.0514988i
\(713\) 3.66384 + 23.1326i 0.137212 + 0.866321i
\(714\) −15.1760 20.5608i −0.567948 0.769467i
\(715\) 1.34049 1.44768i 0.0501315 0.0541400i
\(716\) 1.87635 + 10.7927i 0.0701225 + 0.403344i
\(717\) 12.3380 4.00886i 0.460772 0.149714i
\(718\) 11.5949 0.0872688i 0.432717 0.00325684i
\(719\) 0.791049 + 2.43460i 0.0295011 + 0.0907952i 0.964723 0.263267i \(-0.0848001\pi\)
−0.935222 + 0.354062i \(0.884800\pi\)
\(720\) 66.8372 26.9043i 2.49088 1.00266i
\(721\) 4.31001 13.2649i 0.160513 0.494009i
\(722\) 6.38779 20.1750i 0.237729 0.750836i
\(723\) −22.5650 31.0580i −0.839201 1.15506i
\(724\) −2.94817 + 3.03829i −0.109568 + 0.112917i
\(725\) 18.6834 + 30.6046i 0.693884 + 1.13663i
\(726\) −0.262632 34.8944i −0.00974720 1.29505i
\(727\) 44.7377 + 7.08575i 1.65923 + 0.262796i 0.914505 0.404576i \(-0.132581\pi\)
0.744725 + 0.667372i \(0.232581\pi\)
\(728\) −0.741459 1.37740i −0.0274803 0.0510499i
\(729\) −27.1527 + 83.5674i −1.00566 + 3.09509i
\(730\) 22.0756 12.5574i 0.817055 0.464771i
\(731\) 22.6164 44.3873i 0.836500 1.64172i
\(732\) 31.5060 32.4691i 1.16450 1.20009i
\(733\) −11.5030 35.4025i −0.424871 1.30762i −0.903117 0.429394i \(-0.858727\pi\)
0.478246 0.878226i \(-0.341273\pi\)
\(734\) −0.826731 4.97704i −0.0305152 0.183706i
\(735\) −40.0186 11.3229i −1.47611 0.417653i
\(736\) −22.5189 2.70270i −0.830057 0.0996227i
\(737\) 0.316564 + 1.99871i 0.0116608 + 0.0736233i
\(738\) −49.5086 35.4039i −1.82244 1.30324i
\(739\) 19.1522 + 3.03341i 0.704524 + 0.111586i 0.498409 0.866942i \(-0.333918\pi\)
0.206115 + 0.978528i \(0.433918\pi\)
\(740\) 10.1757 + 12.5372i 0.374065 + 0.460878i
\(741\) 3.07717 0.487376i 0.113043 0.0179042i
\(742\) 9.22282 18.4426i 0.338580 0.677051i
\(743\) −32.1464 + 32.1464i −1.17934 + 1.17934i −0.199425 + 0.979913i \(0.563907\pi\)
−0.979913 + 0.199425i \(0.936093\pi\)
\(744\) −51.8507 + 18.1514i −1.90094 + 0.665464i
\(745\) 6.29983 6.80357i 0.230808 0.249264i
\(746\) −4.85737 + 15.3414i −0.177841 + 0.561687i
\(747\) −28.8022 9.35841i −1.05382 0.342406i
\(748\) −10.4027 13.8741i −0.380362 0.507286i
\(749\) −12.9376 + 12.9376i −0.472729 + 0.472729i
\(750\) 47.6326 22.2478i 1.73930 0.812375i
\(751\) 0.570093i 0.0208030i −0.999946 0.0104015i \(-0.996689\pi\)
0.999946 0.0104015i \(-0.00331096\pi\)
\(752\) −5.70221 + 44.6668i −0.207938 + 1.62883i
\(753\) 37.4598 + 73.5191i 1.36511 + 2.67918i
\(754\) −4.19836 + 2.17913i −0.152895 + 0.0793591i
\(755\) −1.10880 28.8424i −0.0403534 1.04968i
\(756\) −35.7868 17.5609i −1.30155 0.638683i
\(757\) 2.43192 0.0883896 0.0441948 0.999023i \(-0.485928\pi\)
0.0441948 + 0.999023i \(0.485928\pi\)
\(758\) −0.103632 + 0.207230i −0.00376407 + 0.00752691i
\(759\) −14.8237 + 20.4031i −0.538067 + 0.740586i
\(760\) −12.6475 1.21888i −0.458773 0.0442133i
\(761\) 21.6836 + 29.8449i 0.786028 + 1.08187i 0.994591 + 0.103866i \(0.0331213\pi\)
−0.208563 + 0.978009i \(0.566879\pi\)
\(762\) −68.3706 + 11.3570i −2.47681 + 0.411420i
\(763\) −4.56470 3.31645i −0.165253 0.120064i
\(764\) 15.1213 + 20.1672i 0.547069 + 0.729622i
\(765\) 40.2763 + 72.0613i 1.45619 + 2.60538i
\(766\) −5.62823 + 0.934899i −0.203356 + 0.0337793i
\(767\) 3.32388 + 1.69360i 0.120018 + 0.0611524i
\(768\) −3.20124 53.1029i −0.115515 1.91618i
\(769\) 34.4659 11.1987i 1.24287 0.403834i 0.387511 0.921865i \(-0.373335\pi\)
0.855362 + 0.518031i \(0.173335\pi\)
\(770\) 6.84027 + 1.87991i 0.246506 + 0.0677474i
\(771\) 12.5633 + 24.6570i 0.452458 + 0.887998i
\(772\) 4.80223 + 9.08421i 0.172836 + 0.326948i
\(773\) −23.9485 32.9623i