Properties

Label 168.2.ba.c.101.8
Level $168$
Weight $2$
Character 168.101
Analytic conductor $1.341$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 168 = 2^{3} \cdot 3 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 168.ba (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.34148675396\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(24\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 101.8
Character \(\chi\) \(=\) 168.101
Dual form 168.2.ba.c.5.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.968446 + 1.03059i) q^{2} +(0.609093 + 1.62142i) q^{3} +(-0.124224 - 1.99614i) q^{4} +(-2.24840 + 1.29811i) q^{5} +(-2.26089 - 0.942534i) q^{6} +(-2.53678 - 0.751482i) q^{7} +(2.17750 + 1.80513i) q^{8} +(-2.25801 + 1.97519i) q^{9} +O(q^{10})\) \(q+(-0.968446 + 1.03059i) q^{2} +(0.609093 + 1.62142i) q^{3} +(-0.124224 - 1.99614i) q^{4} +(-2.24840 + 1.29811i) q^{5} +(-2.26089 - 0.942534i) q^{6} +(-2.53678 - 0.751482i) q^{7} +(2.17750 + 1.80513i) q^{8} +(-2.25801 + 1.97519i) q^{9} +(0.839632 - 3.57432i) q^{10} +(-1.63808 + 2.83724i) q^{11} +(3.16092 - 1.41725i) q^{12} +0.912635 q^{13} +(3.23121 - 1.88661i) q^{14} +(-3.47427 - 2.85492i) q^{15} +(-3.96914 + 0.495937i) q^{16} +(2.39448 - 4.14736i) q^{17} +(0.151150 - 4.23995i) q^{18} +(2.66693 + 4.61926i) q^{19} +(2.87052 + 4.32685i) q^{20} +(-0.326671 - 4.57092i) q^{21} +(-1.33763 - 4.43590i) q^{22} +(-4.45569 + 2.57249i) q^{23} +(-1.60057 + 4.63014i) q^{24} +(0.870190 - 1.50721i) q^{25} +(-0.883838 + 0.940551i) q^{26} +(-4.57796 - 2.45811i) q^{27} +(-1.18493 + 5.15712i) q^{28} -1.35950 q^{29} +(6.30689 - 0.815700i) q^{30} +(8.18469 + 4.72543i) q^{31} +(3.33279 - 4.57083i) q^{32} +(-5.59810 - 0.927874i) q^{33} +(1.95529 + 6.48421i) q^{34} +(6.67920 - 1.60340i) q^{35} +(4.22326 + 4.26193i) q^{36} +(1.59746 - 0.922292i) q^{37} +(-7.34333 - 1.72500i) q^{38} +(0.555880 + 1.47977i) q^{39} +(-7.23914 - 1.23200i) q^{40} +5.91833 q^{41} +(5.02710 + 4.09002i) q^{42} +8.00125i q^{43} +(5.86701 + 2.91738i) q^{44} +(2.51288 - 7.37217i) q^{45} +(1.66391 - 7.08330i) q^{46} +(3.29243 + 5.70266i) q^{47} +(-3.22170 - 6.13357i) q^{48} +(5.87055 + 3.81269i) q^{49} +(0.710584 + 2.35646i) q^{50} +(8.18307 + 1.35633i) q^{51} +(-0.113371 - 1.82175i) q^{52} +(-0.841712 + 1.45789i) q^{53} +(6.96680 - 2.33745i) q^{54} -8.50565i q^{55} +(-4.16733 - 6.21557i) q^{56} +(-5.86535 + 7.13777i) q^{57} +(1.31661 - 1.40109i) q^{58} +(-1.50266 - 0.867561i) q^{59} +(-5.26724 + 7.28977i) q^{60} +(-4.72347 - 8.18130i) q^{61} +(-12.7964 + 3.85872i) q^{62} +(7.21241 - 3.31379i) q^{63} +(1.48302 + 7.86134i) q^{64} +(-2.05197 + 1.18470i) q^{65} +(6.37772 - 4.87074i) q^{66} +(-10.8634 - 6.27198i) q^{67} +(-8.57615 - 4.26451i) q^{68} +(-6.88502 - 5.65766i) q^{69} +(-4.81600 + 8.43632i) q^{70} +0.603989i q^{71} +(-8.48230 + 0.224987i) q^{72} +(-1.29220 - 0.746053i) q^{73} +(-0.596548 + 2.53951i) q^{74} +(2.97385 + 0.492910i) q^{75} +(8.88938 - 5.89738i) q^{76} +(6.28759 - 5.96647i) q^{77} +(-2.06337 - 0.860190i) q^{78} +(-0.0625152 - 0.108280i) q^{79} +(8.28041 - 6.26745i) q^{80} +(1.19722 - 8.92001i) q^{81} +(-5.73158 + 6.09936i) q^{82} +0.246431i q^{83} +(-9.08360 + 1.21990i) q^{84} +12.4332i q^{85} +(-8.24600 - 7.74878i) q^{86} +(-0.828064 - 2.20433i) q^{87} +(-8.68850 + 3.22114i) q^{88} +(1.80671 + 3.12931i) q^{89} +(5.16408 + 9.72929i) q^{90} +(-2.31516 - 0.685829i) q^{91} +(5.68856 + 8.57461i) q^{92} +(-2.67667 + 16.1491i) q^{93} +(-9.06563 - 2.12958i) q^{94} +(-11.9926 - 6.92395i) q^{95} +(9.44122 + 2.61979i) q^{96} -5.10324i q^{97} +(-9.61463 + 2.35773i) q^{98} +(-1.90529 - 9.64204i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48 q + 6 q^{4} - 4 q^{7} - 14 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 48 q + 6 q^{4} - 4 q^{7} - 14 q^{9} - 30 q^{10} - 18 q^{12} + 4 q^{15} + 6 q^{16} - 36 q^{22} - 12 q^{24} - 8 q^{25} - 10 q^{28} + 22 q^{30} + 48 q^{31} - 42 q^{33} + 52 q^{36} - 8 q^{39} - 18 q^{40} + 12 q^{42} - 8 q^{46} - 36 q^{49} - 48 q^{52} + 60 q^{54} + 4 q^{57} + 30 q^{58} - 32 q^{60} - 6 q^{63} - 60 q^{64} + 54 q^{66} + 42 q^{70} + 42 q^{72} - 36 q^{73} - 68 q^{78} - 56 q^{79} + 42 q^{81} + 48 q^{82} + 48 q^{84} - 132 q^{87} + 6 q^{88} + 48 q^{94} + 90 q^{96}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/168\mathbb{Z}\right)^\times\).

\(n\) \(73\) \(85\) \(113\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(-1\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.968446 + 1.03059i −0.684795 + 0.728736i
\(3\) 0.609093 + 1.62142i 0.351660 + 0.936128i
\(4\) −0.124224 1.99614i −0.0621120 0.998069i
\(5\) −2.24840 + 1.29811i −1.00551 + 0.580533i −0.909875 0.414883i \(-0.863823\pi\)
−0.0956384 + 0.995416i \(0.530489\pi\)
\(6\) −2.26089 0.942534i −0.923005 0.384788i
\(7\) −2.53678 0.751482i −0.958814 0.284033i
\(8\) 2.17750 + 1.80513i 0.769863 + 0.638209i
\(9\) −2.25801 + 1.97519i −0.752670 + 0.658398i
\(10\) 0.839632 3.57432i 0.265515 1.13030i
\(11\) −1.63808 + 2.83724i −0.493900 + 0.855460i −0.999975 0.00702958i \(-0.997762\pi\)
0.506075 + 0.862489i \(0.331096\pi\)
\(12\) 3.16092 1.41725i 0.912478 0.409126i
\(13\) 0.912635 0.253119 0.126560 0.991959i \(-0.459606\pi\)
0.126560 + 0.991959i \(0.459606\pi\)
\(14\) 3.23121 1.88661i 0.863577 0.504218i
\(15\) −3.47427 2.85492i −0.897052 0.737138i
\(16\) −3.96914 + 0.495937i −0.992284 + 0.123984i
\(17\) 2.39448 4.14736i 0.580746 1.00588i −0.414645 0.909983i \(-0.636094\pi\)
0.995391 0.0958985i \(-0.0305724\pi\)
\(18\) 0.151150 4.23995i 0.0356264 0.999365i
\(19\) 2.66693 + 4.61926i 0.611836 + 1.05973i 0.990931 + 0.134373i \(0.0429019\pi\)
−0.379095 + 0.925358i \(0.623765\pi\)
\(20\) 2.87052 + 4.32685i 0.641867 + 0.967514i
\(21\) −0.326671 4.57092i −0.0712854 0.997456i
\(22\) −1.33763 4.43590i −0.285184 0.945737i
\(23\) −4.45569 + 2.57249i −0.929075 + 0.536402i −0.886519 0.462692i \(-0.846884\pi\)
−0.0425563 + 0.999094i \(0.513550\pi\)
\(24\) −1.60057 + 4.63014i −0.326715 + 0.945123i
\(25\) 0.870190 1.50721i 0.174038 0.301443i
\(26\) −0.883838 + 0.940551i −0.173335 + 0.184457i
\(27\) −4.57796 2.45811i −0.881029 0.473063i
\(28\) −1.18493 + 5.15712i −0.223931 + 0.974605i
\(29\) −1.35950 −0.252453 −0.126227 0.992001i \(-0.540287\pi\)
−0.126227 + 0.992001i \(0.540287\pi\)
\(30\) 6.30689 0.815700i 1.15148 0.148926i
\(31\) 8.18469 + 4.72543i 1.47001 + 0.848713i 0.999434 0.0336443i \(-0.0107113\pi\)
0.470580 + 0.882357i \(0.344045\pi\)
\(32\) 3.33279 4.57083i 0.589159 0.808017i
\(33\) −5.59810 0.927874i −0.974504 0.161522i
\(34\) 1.95529 + 6.48421i 0.335330 + 1.11203i
\(35\) 6.67920 1.60340i 1.12899 0.271024i
\(36\) 4.22326 + 4.26193i 0.703876 + 0.710322i
\(37\) 1.59746 0.922292i 0.262620 0.151624i −0.362909 0.931825i \(-0.618216\pi\)
0.625529 + 0.780201i \(0.284883\pi\)
\(38\) −7.34333 1.72500i −1.19125 0.279831i
\(39\) 0.555880 + 1.47977i 0.0890121 + 0.236952i
\(40\) −7.23914 1.23200i −1.14461 0.194797i
\(41\) 5.91833 0.924288 0.462144 0.886805i \(-0.347080\pi\)
0.462144 + 0.886805i \(0.347080\pi\)
\(42\) 5.02710 + 4.09002i 0.775698 + 0.631104i
\(43\) 8.00125i 1.22018i 0.792332 + 0.610090i \(0.208867\pi\)
−0.792332 + 0.610090i \(0.791133\pi\)
\(44\) 5.86701 + 2.91738i 0.884485 + 0.439812i
\(45\) 2.51288 7.37217i 0.374598 1.09898i
\(46\) 1.66391 7.08330i 0.245331 1.04438i
\(47\) 3.29243 + 5.70266i 0.480250 + 0.831818i 0.999743 0.0226567i \(-0.00721246\pi\)
−0.519493 + 0.854475i \(0.673879\pi\)
\(48\) −3.22170 6.13357i −0.465012 0.885304i
\(49\) 5.87055 + 3.81269i 0.838650 + 0.544671i
\(50\) 0.710584 + 2.35646i 0.100492 + 0.333254i
\(51\) 8.18307 + 1.35633i 1.14586 + 0.189924i
\(52\) −0.113371 1.82175i −0.0157218 0.252631i
\(53\) −0.841712 + 1.45789i −0.115618 + 0.200256i −0.918027 0.396519i \(-0.870218\pi\)
0.802409 + 0.596775i \(0.203552\pi\)
\(54\) 6.96680 2.33745i 0.948062 0.318086i
\(55\) 8.50565i 1.14690i
\(56\) −4.16733 6.21557i −0.556883 0.830591i
\(57\) −5.86535 + 7.13777i −0.776885 + 0.945421i
\(58\) 1.31661 1.40109i 0.172879 0.183972i
\(59\) −1.50266 0.867561i −0.195630 0.112947i 0.398986 0.916957i \(-0.369362\pi\)
−0.594615 + 0.804010i \(0.702696\pi\)
\(60\) −5.26724 + 7.28977i −0.679997 + 0.941106i
\(61\) −4.72347 8.18130i −0.604779 1.04751i −0.992086 0.125557i \(-0.959928\pi\)
0.387308 0.921951i \(-0.373405\pi\)
\(62\) −12.7964 + 3.85872i −1.62515 + 0.490058i
\(63\) 7.21241 3.31379i 0.908678 0.417498i
\(64\) 1.48302 + 7.86134i 0.185378 + 0.982667i
\(65\) −2.05197 + 1.18470i −0.254515 + 0.146944i
\(66\) 6.37772 4.87074i 0.785043 0.599547i
\(67\) −10.8634 6.27198i −1.32717 0.766245i −0.342313 0.939586i \(-0.611210\pi\)
−0.984862 + 0.173341i \(0.944544\pi\)
\(68\) −8.57615 4.26451i −1.04001 0.517147i
\(69\) −6.88502 5.65766i −0.828860 0.681102i
\(70\) −4.81600 + 8.43632i −0.575622 + 1.00833i
\(71\) 0.603989i 0.0716803i 0.999358 + 0.0358401i \(0.0114107\pi\)
−0.999358 + 0.0358401i \(0.988589\pi\)
\(72\) −8.48230 + 0.224987i −0.999648 + 0.0265149i
\(73\) −1.29220 0.746053i −0.151241 0.0873189i 0.422470 0.906377i \(-0.361163\pi\)
−0.573711 + 0.819058i \(0.694497\pi\)
\(74\) −0.596548 + 2.53951i −0.0693473 + 0.295212i
\(75\) 2.97385 + 0.492910i 0.343391 + 0.0569164i
\(76\) 8.88938 5.89738i 1.01968 0.676476i
\(77\) 6.28759 5.96647i 0.716537 0.679943i
\(78\) −2.06337 0.860190i −0.233631 0.0973973i
\(79\) −0.0625152 0.108280i −0.00703351 0.0121824i 0.862487 0.506079i \(-0.168906\pi\)
−0.869521 + 0.493896i \(0.835572\pi\)
\(80\) 8.28041 6.26745i 0.925778 0.700722i
\(81\) 1.19722 8.92001i 0.133025 0.991113i
\(82\) −5.73158 + 6.09936i −0.632947 + 0.673562i
\(83\) 0.246431i 0.0270493i 0.999909 + 0.0135247i \(0.00430516\pi\)
−0.999909 + 0.0135247i \(0.995695\pi\)
\(84\) −9.08360 + 1.21990i −0.991102 + 0.133102i
\(85\) 12.4332i 1.34857i
\(86\) −8.24600 7.74878i −0.889189 0.835573i
\(87\) −0.828064 2.20433i −0.0887778 0.236329i
\(88\) −8.68850 + 3.22114i −0.926198 + 0.343375i
\(89\) 1.80671 + 3.12931i 0.191511 + 0.331706i 0.945751 0.324892i \(-0.105328\pi\)
−0.754241 + 0.656598i \(0.771995\pi\)
\(90\) 5.16408 + 9.72929i 0.544342 + 1.02556i
\(91\) −2.31516 0.685829i −0.242695 0.0718944i
\(92\) 5.68856 + 8.57461i 0.593073 + 0.893964i
\(93\) −2.67667 + 16.1491i −0.277558 + 1.67458i
\(94\) −9.06563 2.12958i −0.935049 0.219649i
\(95\) −11.9926 6.92395i −1.23042 0.710382i
\(96\) 9.44122 + 2.61979i 0.963591 + 0.267381i
\(97\) 5.10324i 0.518155i −0.965857 0.259078i \(-0.916581\pi\)
0.965857 0.259078i \(-0.0834185\pi\)
\(98\) −9.61463 + 2.35773i −0.971224 + 0.238167i
\(99\) −1.90529 9.64204i −0.191489 0.969061i
\(100\) −3.11670 1.54979i −0.311670 0.154979i
\(101\) 6.33114 + 3.65529i 0.629972 + 0.363715i 0.780741 0.624854i \(-0.214842\pi\)
−0.150769 + 0.988569i \(0.548175\pi\)
\(102\) −9.32268 + 7.11985i −0.923083 + 0.704970i
\(103\) 0.670566 0.387151i 0.0660728 0.0381472i −0.466600 0.884469i \(-0.654521\pi\)
0.532672 + 0.846321i \(0.321188\pi\)
\(104\) 1.98726 + 1.64742i 0.194867 + 0.161543i
\(105\) 6.66805 + 9.85318i 0.650735 + 0.961572i
\(106\) −0.687329 2.27934i −0.0667593 0.221389i
\(107\) −7.26435 12.5822i −0.702271 1.21637i −0.967667 0.252229i \(-0.918836\pi\)
0.265397 0.964139i \(-0.414497\pi\)
\(108\) −4.33803 + 9.44360i −0.417427 + 0.908710i
\(109\) 12.8015 + 7.39093i 1.22616 + 0.707923i 0.966224 0.257703i \(-0.0829658\pi\)
0.259934 + 0.965626i \(0.416299\pi\)
\(110\) 8.76582 + 8.23726i 0.835788 + 0.785392i
\(111\) 2.46842 + 2.02839i 0.234292 + 0.192526i
\(112\) 10.4415 + 1.72465i 0.986632 + 0.162964i
\(113\) 16.2708i 1.53063i −0.643657 0.765314i \(-0.722584\pi\)
0.643657 0.765314i \(-0.277416\pi\)
\(114\) −1.67583 12.9573i −0.156956 1.21356i
\(115\) 6.67877 11.5680i 0.622798 1.07872i
\(116\) 0.168883 + 2.71376i 0.0156804 + 0.251966i
\(117\) −2.06074 + 1.80263i −0.190515 + 0.166653i
\(118\) 2.34934 0.708437i 0.216275 0.0652170i
\(119\) −9.19094 + 8.72154i −0.842532 + 0.799503i
\(120\) −2.41172 12.4881i −0.220159 1.14000i
\(121\) 0.133385 + 0.231029i 0.0121259 + 0.0210026i
\(122\) 13.0060 + 3.05519i 1.17751 + 0.276604i
\(123\) 3.60482 + 9.59610i 0.325035 + 0.865251i
\(124\) 8.41588 16.9248i 0.755769 1.51989i
\(125\) 8.46270i 0.756927i
\(126\) −3.56968 + 10.6422i −0.318012 + 0.948087i
\(127\) −1.59996 −0.141973 −0.0709867 0.997477i \(-0.522615\pi\)
−0.0709867 + 0.997477i \(0.522615\pi\)
\(128\) −9.53803 6.08490i −0.843051 0.537834i
\(129\) −12.9734 + 4.87351i −1.14224 + 0.429089i
\(130\) 0.766277 3.26205i 0.0672070 0.286101i
\(131\) 7.96684 4.59965i 0.696066 0.401874i −0.109815 0.993952i \(-0.535026\pi\)
0.805880 + 0.592078i \(0.201692\pi\)
\(132\) −1.15675 + 11.2898i −0.100682 + 0.982655i
\(133\) −3.29414 13.7222i −0.285638 1.18987i
\(134\) 16.9844 5.12161i 1.46723 0.442439i
\(135\) 13.4840 0.415906i 1.16051 0.0357955i
\(136\) 12.7005 4.70853i 1.08906 0.403753i
\(137\) 2.43936 + 1.40836i 0.208408 + 0.120325i 0.600571 0.799571i \(-0.294940\pi\)
−0.392163 + 0.919896i \(0.628273\pi\)
\(138\) 12.4985 1.61649i 1.06394 0.137605i
\(139\) −2.80505 −0.237921 −0.118960 0.992899i \(-0.537956\pi\)
−0.118960 + 0.992899i \(0.537956\pi\)
\(140\) −4.03033 13.1334i −0.340625 1.10998i
\(141\) −7.24101 + 8.81187i −0.609803 + 0.742093i
\(142\) −0.622464 0.584930i −0.0522360 0.0490863i
\(143\) −1.49497 + 2.58936i −0.125016 + 0.216533i
\(144\) 7.98278 8.95964i 0.665232 0.746637i
\(145\) 3.05670 1.76479i 0.253845 0.146558i
\(146\) 2.02030 0.609216i 0.167201 0.0504190i
\(147\) −2.60627 + 11.8409i −0.214961 + 0.976623i
\(148\) −2.03947 3.07417i −0.167643 0.252696i
\(149\) 8.67025 + 15.0173i 0.710295 + 1.23027i 0.964746 + 0.263181i \(0.0847718\pi\)
−0.254451 + 0.967086i \(0.581895\pi\)
\(150\) −3.38800 + 2.58746i −0.276629 + 0.211265i
\(151\) −6.41551 + 11.1120i −0.522087 + 0.904281i 0.477583 + 0.878587i \(0.341513\pi\)
−0.999670 + 0.0256942i \(0.991820\pi\)
\(152\) −2.53111 + 14.8726i −0.205300 + 1.20633i
\(153\) 2.78508 + 14.0943i 0.225160 + 1.13946i
\(154\) 0.0597859 + 12.2581i 0.00481769 + 0.987788i
\(155\) −24.5366 −1.97082
\(156\) 2.88476 1.29344i 0.230966 0.103558i
\(157\) −8.55356 + 14.8152i −0.682648 + 1.18238i 0.291521 + 0.956564i \(0.405839\pi\)
−0.974170 + 0.225817i \(0.927495\pi\)
\(158\) 0.172134 + 0.0404355i 0.0136943 + 0.00321687i
\(159\) −2.87653 0.476779i −0.228124 0.0378110i
\(160\) −1.55998 + 14.6034i −0.123327 + 1.15450i
\(161\) 13.2363 3.17749i 1.04317 0.250421i
\(162\) 8.03342 + 9.87240i 0.631165 + 0.775649i
\(163\) 21.6390 12.4933i 1.69489 0.978547i 0.744436 0.667694i \(-0.232718\pi\)
0.950458 0.310853i \(-0.100615\pi\)
\(164\) −0.735199 11.8138i −0.0574094 0.922503i
\(165\) 13.7912 5.18073i 1.07365 0.403320i
\(166\) −0.253969 0.238655i −0.0197118 0.0185232i
\(167\) 9.89286 0.765532 0.382766 0.923845i \(-0.374972\pi\)
0.382766 + 0.923845i \(0.374972\pi\)
\(168\) 7.53977 10.5429i 0.581706 0.813399i
\(169\) −12.1671 −0.935931
\(170\) −12.8135 12.0409i −0.982751 0.923494i
\(171\) −15.1459 5.16263i −1.15823 0.394796i
\(172\) 15.9716 0.993948i 1.21782 0.0757878i
\(173\) −13.3755 + 7.72235i −1.01692 + 0.587120i −0.913211 0.407488i \(-0.866405\pi\)
−0.103710 + 0.994608i \(0.533071\pi\)
\(174\) 3.07369 + 1.28138i 0.233016 + 0.0971410i
\(175\) −3.34013 + 3.16954i −0.252490 + 0.239595i
\(176\) 5.09467 12.0738i 0.384026 0.910095i
\(177\) 0.491421 2.96487i 0.0369375 0.222853i
\(178\) −4.97473 1.16860i −0.372871 0.0875899i
\(179\) −6.07462 + 10.5216i −0.454038 + 0.786418i −0.998632 0.0522822i \(-0.983350\pi\)
0.544594 + 0.838700i \(0.316684\pi\)
\(180\) −15.0280 4.10025i −1.12012 0.305615i
\(181\) 1.41922 0.105489 0.0527447 0.998608i \(-0.483203\pi\)
0.0527447 + 0.998608i \(0.483203\pi\)
\(182\) 2.94891 1.72179i 0.218588 0.127627i
\(183\) 10.3883 12.6419i 0.767924 0.934517i
\(184\) −14.3459 2.44149i −1.05760 0.179989i
\(185\) −2.39448 + 4.14736i −0.176045 + 0.304920i
\(186\) −14.0508 18.3980i −1.03026 1.34901i
\(187\) 7.84469 + 13.5874i 0.573661 + 0.993610i
\(188\) 10.9743 7.28055i 0.800383 0.530989i
\(189\) 9.76607 + 9.67594i 0.710377 + 0.703821i
\(190\) 18.7500 5.65399i 1.36026 0.410184i
\(191\) 3.62414 2.09240i 0.262234 0.151401i −0.363119 0.931743i \(-0.618288\pi\)
0.625353 + 0.780342i \(0.284955\pi\)
\(192\) −11.8432 + 7.19289i −0.854712 + 0.519102i
\(193\) −13.1905 + 22.8467i −0.949476 + 1.64454i −0.202946 + 0.979190i \(0.565051\pi\)
−0.746531 + 0.665351i \(0.768282\pi\)
\(194\) 5.25933 + 4.94221i 0.377598 + 0.354830i
\(195\) −3.17074 2.60550i −0.227061 0.186584i
\(196\) 6.88140 12.1921i 0.491529 0.870861i
\(197\) 12.6908 0.904184 0.452092 0.891971i \(-0.350678\pi\)
0.452092 + 0.891971i \(0.350678\pi\)
\(198\) 11.7821 + 7.37422i 0.837321 + 0.524063i
\(199\) 0.939591 + 0.542473i 0.0666058 + 0.0384549i 0.532933 0.846157i \(-0.321090\pi\)
−0.466327 + 0.884612i \(0.654423\pi\)
\(200\) 4.61555 1.71115i 0.326369 0.120997i
\(201\) 3.55270 21.4344i 0.250588 1.51186i
\(202\) −9.89847 + 2.98485i −0.696454 + 0.210014i
\(203\) 3.44876 + 1.02164i 0.242056 + 0.0717052i
\(204\) 1.69088 16.5030i 0.118386 1.15544i
\(205\) −13.3067 + 7.68265i −0.929384 + 0.536580i
\(206\) −0.250413 + 1.06601i −0.0174471 + 0.0742726i
\(207\) 4.97982 14.6096i 0.346121 1.01543i
\(208\) −3.62237 + 0.452609i −0.251166 + 0.0313828i
\(209\) −17.4746 −1.20874
\(210\) −16.6122 2.67026i −1.14635 0.184265i
\(211\) 7.89074i 0.543221i −0.962407 0.271610i \(-0.912444\pi\)
0.962407 0.271610i \(-0.0875562\pi\)
\(212\) 3.01471 + 1.49907i 0.207051 + 0.102956i
\(213\) −0.979320 + 0.367886i −0.0671019 + 0.0252071i
\(214\) 20.0022 + 4.69865i 1.36732 + 0.321193i
\(215\) −10.3865 17.9900i −0.708355 1.22691i
\(216\) −5.53131 13.6163i −0.376358 0.926474i
\(217\) −17.2117 18.1381i −1.16841 1.23129i
\(218\) −20.0145 + 6.03532i −1.35556 + 0.408764i
\(219\) 0.422594 2.54962i 0.0285563 0.172287i
\(220\) −16.9785 + 1.05661i −1.14469 + 0.0712363i
\(221\) 2.18528 3.78502i 0.146998 0.254608i
\(222\) −4.48097 + 0.579545i −0.300743 + 0.0388965i
\(223\) 11.5392i 0.772720i −0.922348 0.386360i \(-0.873732\pi\)
0.922348 0.386360i \(-0.126268\pi\)
\(224\) −11.8895 + 9.09069i −0.794398 + 0.607397i
\(225\) 1.01214 + 5.12210i 0.0674760 + 0.341473i
\(226\) 16.7685 + 15.7574i 1.11542 + 1.04817i
\(227\) 13.4825 + 7.78410i 0.894862 + 0.516649i 0.875530 0.483164i \(-0.160513\pi\)
0.0193323 + 0.999813i \(0.493846\pi\)
\(228\) 14.9766 + 10.8214i 0.991850 + 0.716663i
\(229\) −1.78238 3.08717i −0.117783 0.204006i 0.801106 0.598523i \(-0.204245\pi\)
−0.918889 + 0.394517i \(0.870912\pi\)
\(230\) 5.45378 + 18.0860i 0.359612 + 1.19256i
\(231\) 13.5039 + 6.56069i 0.888491 + 0.431662i
\(232\) −2.96032 2.45408i −0.194354 0.161118i
\(233\) −6.60666 + 3.81435i −0.432816 + 0.249887i −0.700546 0.713607i \(-0.747060\pi\)
0.267729 + 0.963494i \(0.413727\pi\)
\(234\) 0.137945 3.86953i 0.00901775 0.252959i
\(235\) −14.8054 8.54789i −0.965796 0.557603i
\(236\) −1.54511 + 3.10729i −0.100578 + 0.202267i
\(237\) 0.137489 0.167316i 0.00893087 0.0108683i
\(238\) −0.0873926 17.9184i −0.00566482 1.16148i
\(239\) 13.2745i 0.858658i 0.903148 + 0.429329i \(0.141250\pi\)
−0.903148 + 0.429329i \(0.858750\pi\)
\(240\) 15.2057 + 9.60857i 0.981524 + 0.620230i
\(241\) 9.92793 + 5.73189i 0.639514 + 0.369224i 0.784427 0.620221i \(-0.212957\pi\)
−0.144913 + 0.989444i \(0.546290\pi\)
\(242\) −0.367272 0.0862745i −0.0236091 0.00554593i
\(243\) 15.1923 3.49192i 0.974588 0.224007i
\(244\) −15.7442 + 10.4450i −1.00792 + 0.668674i
\(245\) −18.1486 0.951816i −1.15947 0.0608093i
\(246\) −13.3807 5.57823i −0.853122 0.355655i
\(247\) 2.43393 + 4.21570i 0.154867 + 0.268238i
\(248\) 9.29216 + 25.0641i 0.590053 + 1.59157i
\(249\) −0.399568 + 0.150099i −0.0253216 + 0.00951217i
\(250\) 8.72156 + 8.19567i 0.551600 + 0.518340i
\(251\) 1.44903i 0.0914619i −0.998954 0.0457309i \(-0.985438\pi\)
0.998954 0.0457309i \(-0.0145617\pi\)
\(252\) −7.51073 13.9853i −0.473132 0.880992i
\(253\) 16.8558i 1.05972i
\(254\) 1.54947 1.64890i 0.0972226 0.103461i
\(255\) −20.1594 + 7.57298i −1.26243 + 0.474238i
\(256\) 15.5081 3.93688i 0.969256 0.246055i
\(257\) 6.03418 + 10.4515i 0.376402 + 0.651948i 0.990536 0.137254i \(-0.0438278\pi\)
−0.614134 + 0.789202i \(0.710494\pi\)
\(258\) 7.54145 18.0900i 0.469510 1.12623i
\(259\) −4.74549 + 1.13920i −0.294870 + 0.0707862i
\(260\) 2.61973 + 3.94884i 0.162469 + 0.244897i
\(261\) 3.06977 2.68528i 0.190014 0.166215i
\(262\) −2.97510 + 12.6650i −0.183802 + 0.782449i
\(263\) 21.7325 + 12.5473i 1.34008 + 0.773697i 0.986819 0.161827i \(-0.0517385\pi\)
0.353264 + 0.935524i \(0.385072\pi\)
\(264\) −10.5149 12.1257i −0.647150 0.746288i
\(265\) 4.37055i 0.268480i
\(266\) 17.3321 + 9.89432i 1.06270 + 0.606660i
\(267\) −3.97347 + 4.83547i −0.243172 + 0.295926i
\(268\) −11.1703 + 22.4640i −0.682332 + 1.37221i
\(269\) 6.61826 + 3.82105i 0.403522 + 0.232974i 0.688003 0.725708i \(-0.258488\pi\)
−0.284480 + 0.958682i \(0.591821\pi\)
\(270\) −12.6299 + 14.2992i −0.768629 + 0.870221i
\(271\) −9.27850 + 5.35694i −0.563629 + 0.325411i −0.754601 0.656184i \(-0.772169\pi\)
0.190972 + 0.981595i \(0.438836\pi\)
\(272\) −7.44718 + 17.6489i −0.451552 + 1.07012i
\(273\) −0.298131 4.17158i −0.0180437 0.252476i
\(274\) −3.81383 + 1.15005i −0.230402 + 0.0694769i
\(275\) 2.85088 + 4.93787i 0.171915 + 0.297765i
\(276\) −10.4382 + 14.4463i −0.628305 + 0.869564i
\(277\) −3.08910 1.78349i −0.185606 0.107160i 0.404318 0.914618i \(-0.367509\pi\)
−0.589924 + 0.807459i \(0.700842\pi\)
\(278\) 2.71654 2.89085i 0.162927 0.173382i
\(279\) −27.8148 + 5.49627i −1.66523 + 0.329053i
\(280\) 17.4383 + 8.56541i 1.04214 + 0.511881i
\(281\) 4.26336i 0.254331i −0.991882 0.127165i \(-0.959412\pi\)
0.991882 0.127165i \(-0.0405879\pi\)
\(282\) −2.06888 15.9963i −0.123200 0.952567i
\(283\) −11.3202 + 19.6072i −0.672918 + 1.16553i 0.304154 + 0.952623i \(0.401626\pi\)
−0.977073 + 0.212906i \(0.931707\pi\)
\(284\) 1.20564 0.0750299i 0.0715419 0.00445221i
\(285\) 3.92200 23.6624i 0.232319 1.40164i
\(286\) −1.22077 4.04836i −0.0721856 0.239384i
\(287\) −15.0135 4.44752i −0.886220 0.262529i
\(288\) 1.50281 + 16.9039i 0.0885539 + 0.996071i
\(289\) −2.96705 5.13907i −0.174532 0.302298i
\(290\) −1.14148 + 4.85930i −0.0670301 + 0.285348i
\(291\) 8.27449 3.10835i 0.485059 0.182215i
\(292\) −1.32870 + 2.67209i −0.0777564 + 0.156372i
\(293\) 5.96057i 0.348220i −0.984726 0.174110i \(-0.944295\pi\)
0.984726 0.174110i \(-0.0557049\pi\)
\(294\) −9.67908 14.1533i −0.564495 0.825436i
\(295\) 4.50477 0.262278
\(296\) 5.14332 + 0.875323i 0.298949 + 0.0508771i
\(297\) 14.4733 8.96219i 0.839826 0.520039i
\(298\) −23.8733 5.60801i −1.38295 0.324863i
\(299\) −4.06642 + 2.34775i −0.235167 + 0.135774i
\(300\) 0.614493 5.99745i 0.0354778 0.346263i
\(301\) 6.01280 20.2975i 0.346572 1.16993i
\(302\) −5.23881 17.3731i −0.301460 0.999710i
\(303\) −2.07050 + 12.4919i −0.118947 + 0.717639i
\(304\) −12.8763 17.0118i −0.738505 0.975696i
\(305\) 21.2405 + 12.2632i 1.21623 + 0.702189i
\(306\) −17.2226 10.7793i −0.984553 0.616213i
\(307\) −5.42113 −0.309400 −0.154700 0.987961i \(-0.549441\pi\)
−0.154700 + 0.987961i \(0.549441\pi\)
\(308\) −12.6910 11.8097i −0.723136 0.672921i
\(309\) 1.03617 + 0.851458i 0.0589458 + 0.0484378i
\(310\) 23.7623 25.2871i 1.34961 1.43621i
\(311\) 12.1809 21.0979i 0.690714 1.19635i −0.280890 0.959740i \(-0.590630\pi\)
0.971604 0.236612i \(-0.0760370\pi\)
\(312\) −1.46074 + 4.22563i −0.0826980 + 0.239229i
\(313\) 14.1392 8.16327i 0.799195 0.461415i −0.0439948 0.999032i \(-0.514009\pi\)
0.843189 + 0.537617i \(0.180675\pi\)
\(314\) −6.98471 23.1629i −0.394170 1.30716i
\(315\) −11.9147 + 16.8132i −0.671316 + 0.947317i
\(316\) −0.208375 + 0.138240i −0.0117220 + 0.00777660i
\(317\) −9.94185 17.2198i −0.558390 0.967160i −0.997631 0.0687904i \(-0.978086\pi\)
0.439241 0.898369i \(-0.355247\pi\)
\(318\) 3.27713 2.50278i 0.183772 0.140349i
\(319\) 2.22697 3.85723i 0.124687 0.215964i
\(320\) −13.5393 15.7503i −0.756871 0.880467i
\(321\) 15.9764 19.4423i 0.891716 1.08516i
\(322\) −9.54396 + 16.7184i −0.531864 + 0.931680i
\(323\) 25.5436 1.42128
\(324\) −17.9543 1.28174i −0.997462 0.0712077i
\(325\) 0.794166 1.37554i 0.0440524 0.0763010i
\(326\) −8.08076 + 34.3999i −0.447552 + 1.90523i
\(327\) −4.18652 + 25.2583i −0.231515 + 1.39679i
\(328\) 12.8872 + 10.6833i 0.711575 + 0.589889i
\(329\) −4.06674 16.9406i −0.224207 0.933966i
\(330\) −8.01686 + 19.2303i −0.441314 + 1.05860i
\(331\) −1.90300 + 1.09870i −0.104599 + 0.0603900i −0.551387 0.834250i \(-0.685901\pi\)
0.446788 + 0.894640i \(0.352568\pi\)
\(332\) 0.491910 0.0306126i 0.0269971 0.00168009i
\(333\) −1.78537 + 5.23783i −0.0978376 + 0.287031i
\(334\) −9.58070 + 10.1955i −0.524233 + 0.557871i
\(335\) 32.5669 1.77932
\(336\) 3.56349 + 17.9806i 0.194404 + 0.980922i
\(337\) 29.4138 1.60227 0.801135 0.598484i \(-0.204230\pi\)
0.801135 + 0.598484i \(0.204230\pi\)
\(338\) 11.7832 12.5393i 0.640920 0.682046i
\(339\) 26.3818 9.91044i 1.43286 0.538261i
\(340\) 24.8184 1.54450i 1.34597 0.0837624i
\(341\) −26.8144 + 15.4813i −1.45208 + 0.838358i
\(342\) 19.9885 10.6094i 1.08086 0.573693i
\(343\) −12.0271 14.0836i −0.649405 0.760443i
\(344\) −14.4433 + 17.4227i −0.778730 + 0.939371i
\(345\) 22.8245 + 3.78312i 1.22883 + 0.203676i
\(346\) 4.99489 21.2633i 0.268527 1.14312i
\(347\) 6.43016 11.1374i 0.345189 0.597885i −0.640199 0.768209i \(-0.721148\pi\)
0.985388 + 0.170324i \(0.0544815\pi\)
\(348\) −4.29727 + 1.92676i −0.230358 + 0.103285i
\(349\) 30.0571 1.60892 0.804460 0.594006i \(-0.202455\pi\)
0.804460 + 0.594006i \(0.202455\pi\)
\(350\) −0.0317598 6.51183i −0.00169763 0.348072i
\(351\) −4.17801 2.24335i −0.223005 0.119741i
\(352\) 7.50917 + 16.9433i 0.400240 + 0.903081i
\(353\) −12.1069 + 20.9698i −0.644387 + 1.11611i 0.340056 + 0.940405i \(0.389554\pi\)
−0.984443 + 0.175705i \(0.943779\pi\)
\(354\) 2.57965 + 3.37777i 0.137107 + 0.179526i
\(355\) −0.784045 1.35801i −0.0416128 0.0720755i
\(356\) 6.02209 3.99517i 0.319170 0.211744i
\(357\) −19.7394 9.59014i −1.04472 0.507564i
\(358\) −4.96044 16.4500i −0.262168 0.869409i
\(359\) −3.16884 + 1.82953i −0.167245 + 0.0965590i −0.581286 0.813699i \(-0.697450\pi\)
0.414041 + 0.910258i \(0.364117\pi\)
\(360\) 18.7795 11.5168i 0.989767 0.606990i
\(361\) −4.72503 + 8.18398i −0.248686 + 0.430736i
\(362\) −1.37443 + 1.46263i −0.0722387 + 0.0768740i
\(363\) −0.293351 + 0.356991i −0.0153970 + 0.0187372i
\(364\) −1.08141 + 4.70657i −0.0566813 + 0.246691i
\(365\) 3.87384 0.202766
\(366\) 2.96811 + 22.9491i 0.155146 + 1.19957i
\(367\) −15.1950 8.77283i −0.793172 0.457938i 0.0479063 0.998852i \(-0.484745\pi\)
−0.841078 + 0.540914i \(0.818078\pi\)
\(368\) 16.4094 12.4203i 0.855401 0.647454i
\(369\) −13.3636 + 11.6898i −0.695684 + 0.608549i
\(370\) −1.95529 6.48421i −0.101651 0.337098i
\(371\) 3.23082 3.06582i 0.167736 0.159169i
\(372\) 32.5683 + 3.33691i 1.68859 + 0.173011i
\(373\) 3.25687 1.88036i 0.168635 0.0973612i −0.413307 0.910592i \(-0.635626\pi\)
0.581942 + 0.813230i \(0.302293\pi\)
\(374\) −21.6002 5.07402i −1.11692 0.262372i
\(375\) 13.7216 5.15458i 0.708581 0.266181i
\(376\) −3.12476 + 18.3608i −0.161147 + 0.946886i
\(377\) −1.24073 −0.0639008
\(378\) −19.4298 + 0.694171i −0.999362 + 0.0357043i
\(379\) 12.2799i 0.630774i −0.948963 0.315387i \(-0.897866\pi\)
0.948963 0.315387i \(-0.102134\pi\)
\(380\) −12.3314 + 24.7991i −0.632587 + 1.27217i
\(381\) −0.974524 2.59421i −0.0499264 0.132905i
\(382\) −1.35338 + 5.76138i −0.0692452 + 0.294778i
\(383\) 3.77515 + 6.53874i 0.192901 + 0.334114i 0.946210 0.323552i \(-0.104877\pi\)
−0.753309 + 0.657666i \(0.771544\pi\)
\(384\) 4.05663 19.1714i 0.207014 0.978338i
\(385\) −6.39184 + 21.5770i −0.325758 + 1.09967i
\(386\) −10.7712 35.7198i −0.548240 1.81809i
\(387\) −15.8040 18.0669i −0.803364 0.918393i
\(388\) −10.1868 + 0.633944i −0.517155 + 0.0321837i
\(389\) 18.2949 31.6877i 0.927588 1.60663i 0.140244 0.990117i \(-0.455211\pi\)
0.787345 0.616513i \(-0.211455\pi\)
\(390\) 5.75589 0.744437i 0.291461 0.0376960i
\(391\) 24.6391i 1.24605i
\(392\) 5.90072 + 18.8992i 0.298032 + 0.954556i
\(393\) 12.3105 + 10.1160i 0.620984 + 0.510283i
\(394\) −12.2904 + 13.0790i −0.619181 + 0.658911i
\(395\) 0.281118 + 0.162304i 0.0141446 + 0.00816638i
\(396\) −19.0102 + 5.00100i −0.955297 + 0.251310i
\(397\) −3.83449 6.64152i −0.192447 0.333329i 0.753613 0.657318i \(-0.228309\pi\)
−0.946061 + 0.323989i \(0.894976\pi\)
\(398\) −1.46901 + 0.442975i −0.0736348 + 0.0222043i
\(399\) 20.2430 13.6993i 1.01342 0.685822i
\(400\) −2.70642 + 6.41389i −0.135321 + 0.320695i
\(401\) −20.5062 + 11.8393i −1.02403 + 0.591224i −0.915269 0.402844i \(-0.868022\pi\)
−0.108761 + 0.994068i \(0.534688\pi\)
\(402\) 18.6494 + 24.4194i 0.930147 + 1.21793i
\(403\) 7.46964 + 4.31260i 0.372089 + 0.214826i
\(404\) 6.50998 13.0919i 0.323884 0.651347i
\(405\) 8.88735 + 21.6099i 0.441616 + 1.07380i
\(406\) −4.39283 + 2.56485i −0.218013 + 0.127291i
\(407\) 6.04316i 0.299548i
\(408\) 15.3703 + 17.7249i 0.760943 + 0.877513i
\(409\) 13.5659 + 7.83230i 0.670793 + 0.387283i 0.796377 0.604800i \(-0.206747\pi\)
−0.125584 + 0.992083i \(0.540080\pi\)
\(410\) 4.96922 21.1540i 0.245412 1.04472i
\(411\) −0.797753 + 4.81305i −0.0393502 + 0.237410i
\(412\) −0.856108 1.29045i −0.0421774 0.0635759i
\(413\) 3.15997 + 3.33004i 0.155492 + 0.163860i
\(414\) 10.2338 + 19.2807i 0.502962 + 0.947596i
\(415\) −0.319895 0.554074i −0.0157030 0.0271984i
\(416\) 3.04162 4.17150i 0.149128 0.204525i
\(417\) −1.70854 4.54816i −0.0836674 0.222724i
\(418\) 16.9232 18.0091i 0.827740 0.880854i
\(419\) 35.4540i 1.73204i 0.500009 + 0.866020i \(0.333330\pi\)
−0.500009 + 0.866020i \(0.666670\pi\)
\(420\) 18.8400 14.5343i 0.919297 0.709204i
\(421\) 8.00460i 0.390120i −0.980791 0.195060i \(-0.937510\pi\)
0.980791 0.195060i \(-0.0624902\pi\)
\(422\) 8.13210 + 7.64175i 0.395864 + 0.371995i
\(423\) −18.6982 6.37347i −0.909137 0.309889i
\(424\) −4.46450 + 1.65515i −0.216815 + 0.0803814i
\(425\) −4.16730 7.21798i −0.202144 0.350123i
\(426\) 0.569280 1.36555i 0.0275817 0.0661612i
\(427\) 5.83434 + 24.3038i 0.282343 + 1.17614i
\(428\) −24.2134 + 16.0637i −1.17040 + 0.776466i
\(429\) −5.10902 0.846811i −0.246666 0.0408844i
\(430\) 28.5991 + 6.71811i 1.37917 + 0.323976i
\(431\) −25.8583 14.9293i −1.24555 0.719118i −0.275331 0.961350i \(-0.588787\pi\)
−0.970219 + 0.242231i \(0.922121\pi\)
\(432\) 19.3896 + 7.48619i 0.932883 + 0.360179i
\(433\) 1.70747i 0.0820557i −0.999158 0.0410278i \(-0.986937\pi\)
0.999158 0.0410278i \(-0.0130632\pi\)
\(434\) 35.3615 0.172467i 1.69741 0.00827867i
\(435\) 4.72328 + 3.88128i 0.226464 + 0.186093i
\(436\) 13.1631 26.4716i 0.630397 1.26776i
\(437\) −23.7660 13.7213i −1.13688 0.656379i
\(438\) 2.21835 + 2.90469i 0.105997 + 0.138791i
\(439\) 14.3026 8.25762i 0.682627 0.394115i −0.118217 0.992988i \(-0.537718\pi\)
0.800844 + 0.598873i \(0.204385\pi\)
\(440\) 15.3538 18.5211i 0.731963 0.882957i
\(441\) −20.7866 + 2.98637i −0.989837 + 0.142208i
\(442\) 1.78447 + 5.91772i 0.0848786 + 0.281477i
\(443\) −7.12265 12.3368i −0.338407 0.586138i 0.645726 0.763569i \(-0.276555\pi\)
−0.984133 + 0.177431i \(0.943221\pi\)
\(444\) 3.74231 5.17929i 0.177602 0.245798i
\(445\) −8.12438 4.69062i −0.385133 0.222356i
\(446\) 11.8921 + 11.1751i 0.563109 + 0.529155i
\(447\) −19.0684 + 23.2051i −0.901904 + 1.09756i
\(448\) 2.14555 21.0570i 0.101368 0.994849i
\(449\) 2.18010i 0.102885i 0.998676 + 0.0514426i \(0.0163819\pi\)
−0.998676 + 0.0514426i \(0.983618\pi\)
\(450\) −6.25897 3.91737i −0.295051 0.184667i
\(451\) −9.69470 + 16.7917i −0.456506 + 0.790691i
\(452\) −32.4788 + 2.02123i −1.52767 + 0.0950704i
\(453\) −21.9249 3.63400i −1.03012 0.170740i
\(454\) −21.0792 + 6.35638i −0.989297 + 0.298320i
\(455\) 6.09568 1.46332i 0.285770 0.0686015i
\(456\) −25.6564 + 4.95480i −1.20147 + 0.232030i
\(457\) −16.0855 27.8609i −0.752447 1.30328i −0.946633 0.322312i \(-0.895540\pi\)
0.194186 0.980965i \(-0.437793\pi\)
\(458\) 4.90773 + 1.15286i 0.229323 + 0.0538696i
\(459\) −21.1565 + 13.1005i −0.987499 + 0.611481i
\(460\) −23.9209 11.8947i −1.11532 0.554594i
\(461\) 13.9258i 0.648588i 0.945956 + 0.324294i \(0.105127\pi\)
−0.945956 + 0.324294i \(0.894873\pi\)
\(462\) −19.8392 + 7.56328i −0.923001 + 0.351876i
\(463\) 15.5838 0.724239 0.362120 0.932132i \(-0.382053\pi\)
0.362120 + 0.932132i \(0.382053\pi\)
\(464\) 5.39605 0.674227i 0.250505 0.0313002i
\(465\) −14.9451 39.7841i −0.693061 1.84494i
\(466\) 2.46716 10.5027i 0.114289 0.486530i
\(467\) 16.6230 9.59729i 0.769220 0.444110i −0.0633760 0.997990i \(-0.520187\pi\)
0.832596 + 0.553880i \(0.186853\pi\)
\(468\) 3.85429 + 3.88959i 0.178165 + 0.179796i
\(469\) 22.8448 + 24.0743i 1.05488 + 1.11165i
\(470\) 23.1476 6.98008i 1.06772 0.321967i
\(471\) −29.2316 4.84508i −1.34692 0.223249i
\(472\) −1.70598 4.60161i −0.0785243 0.211806i
\(473\) −22.7015 13.1067i −1.04381 0.602647i
\(474\) 0.0392830 + 0.303731i 0.00180433 + 0.0139508i
\(475\) 9.28294 0.425931
\(476\) 18.5511 + 17.2630i 0.850290 + 0.791246i
\(477\) −0.979016 4.95447i −0.0448261 0.226850i
\(478\) −13.6806 12.8557i −0.625735 0.588004i
\(479\) 3.02090 5.23235i 0.138028 0.239072i −0.788722 0.614750i \(-0.789257\pi\)
0.926750 + 0.375678i \(0.122590\pi\)
\(480\) −24.6284 + 6.36545i −1.12413 + 0.290542i
\(481\) 1.45790 0.841716i 0.0664743 0.0383790i
\(482\) −15.5219 + 4.68058i −0.707003 + 0.213195i
\(483\) 13.2142 + 19.5262i 0.601267 + 0.888474i
\(484\) 0.444596 0.294954i 0.0202089 0.0134070i
\(485\) 6.62457 + 11.4741i 0.300806 + 0.521012i
\(486\) −11.1142 + 19.0388i −0.504151 + 0.863616i
\(487\) 11.1385 19.2925i 0.504735 0.874227i −0.495250 0.868751i \(-0.664923\pi\)
0.999985 0.00547672i \(-0.00174330\pi\)
\(488\) 4.48293 26.3413i 0.202933 1.19241i
\(489\) 33.4370 + 27.4763i 1.51207 + 1.24252i
\(490\) 18.5569 17.7820i 0.838315 0.803308i
\(491\) 4.63965 0.209384 0.104692 0.994505i \(-0.466614\pi\)
0.104692 + 0.994505i \(0.466614\pi\)
\(492\) 18.7073 8.38778i 0.843392 0.378150i
\(493\) −3.25530 + 5.63834i −0.146611 + 0.253938i
\(494\) −6.70178 1.57429i −0.301527 0.0708308i
\(495\) 16.8003 + 19.2058i 0.755117 + 0.863238i
\(496\) −34.8297 14.6968i −1.56390 0.659906i
\(497\) 0.453886 1.53219i 0.0203596 0.0687281i
\(498\) 0.232270 0.557153i 0.0104082 0.0249666i
\(499\) −16.8940 + 9.75377i −0.756280 + 0.436639i −0.827959 0.560789i \(-0.810498\pi\)
0.0716782 + 0.997428i \(0.477165\pi\)
\(500\) −16.8927 + 1.05127i −0.755466 + 0.0470143i
\(501\) 6.02567 + 16.0405i 0.269207 + 0.716636i
\(502\) 1.49335 + 1.40331i 0.0666516 + 0.0626326i
\(503\) −33.9146 −1.51218 −0.756090 0.654468i \(-0.772893\pi\)
−0.756090 + 0.654468i \(0.772893\pi\)
\(504\) 21.6868 + 5.80355i 0.966008 + 0.258511i
\(505\) −18.9799 −0.844594
\(506\) 17.3714 + 16.3239i 0.772252 + 0.725688i
\(507\) −7.41090 19.7280i −0.329130 0.876150i
\(508\) 0.198753 + 3.19374i 0.00881825 + 0.141699i
\(509\) 20.9128 12.0740i 0.926946 0.535172i 0.0411013 0.999155i \(-0.486913\pi\)
0.885844 + 0.463983i \(0.153580\pi\)
\(510\) 11.7187 28.1101i 0.518913 1.24474i
\(511\) 2.71739 + 2.86364i 0.120210 + 0.126680i
\(512\) −10.9615 + 19.7951i −0.484432 + 0.874829i
\(513\) −0.854465 27.7024i −0.0377256 1.22309i
\(514\) −16.6150 3.90297i −0.732856 0.172153i
\(515\) −1.00513 + 1.74094i −0.0442914 + 0.0767150i
\(516\) 11.3398 + 25.2913i 0.499207 + 1.11339i
\(517\) −21.5731 −0.948782
\(518\) 3.42171 5.99390i 0.150341 0.263357i
\(519\) −20.6681 16.9837i −0.907230 0.745501i
\(520\) −6.60670 1.12437i −0.289723 0.0493069i
\(521\) 2.98225 5.16541i 0.130655 0.226301i −0.793274 0.608864i \(-0.791625\pi\)
0.923929 + 0.382564i \(0.124959\pi\)
\(522\) −0.205489 + 5.76422i −0.00899401 + 0.252293i
\(523\) 6.49701 + 11.2532i 0.284095 + 0.492066i 0.972389 0.233365i \(-0.0749737\pi\)
−0.688295 + 0.725431i \(0.741640\pi\)
\(524\) −10.1712 15.3315i −0.444332 0.669761i
\(525\) −7.17361 3.48520i −0.313082 0.152107i
\(526\) −33.9778 + 10.2459i −1.48150 + 0.446743i
\(527\) 39.1961 22.6299i 1.70741 0.985774i
\(528\) 22.6798 + 0.906555i 0.987012 + 0.0394528i
\(529\) 1.73544 3.00587i 0.0754539 0.130690i
\(530\) 4.50423 + 4.23264i 0.195651 + 0.183854i
\(531\) 5.10662 1.00908i 0.221609 0.0437905i
\(532\) −26.9822 + 8.28018i −1.16983 + 0.358991i
\(533\) 5.40127 0.233955
\(534\) −1.13529 8.77791i −0.0491287 0.379857i
\(535\) 32.6663 + 18.8599i 1.41229 + 0.815383i
\(536\) −12.3333 33.2671i −0.532718 1.43692i
\(537\) −20.7599 3.44091i −0.895855 0.148486i
\(538\) −10.3474 + 3.12022i −0.446106 + 0.134522i
\(539\) −20.4340 + 10.4107i −0.880153 + 0.448418i
\(540\) −2.50524 26.8642i −0.107808 1.15605i
\(541\) −18.7480 + 10.8242i −0.806039 + 0.465367i −0.845578 0.533851i \(-0.820744\pi\)
0.0395397 + 0.999218i \(0.487411\pi\)
\(542\) 3.46492 14.7502i 0.148831 0.633576i
\(543\) 0.864435 + 2.30115i 0.0370965 + 0.0987516i
\(544\) −10.9766 24.7670i −0.470617 1.06188i
\(545\) −38.3770 −1.64389
\(546\) 4.58791 + 3.73270i 0.196344 + 0.159745i
\(547\) 15.8930i 0.679536i −0.940509 0.339768i \(-0.889651\pi\)
0.940509 0.339768i \(-0.110349\pi\)
\(548\) 2.50826 5.04424i 0.107148 0.215479i
\(549\) 26.8253 + 9.14368i 1.14488 + 0.390243i
\(550\) −7.84984 1.84398i −0.334718 0.0786275i
\(551\) −3.62570 6.27989i −0.154460 0.267532i
\(552\) −4.77935 24.7479i −0.203423 1.05334i
\(553\) 0.0772175 + 0.321661i 0.00328362 + 0.0136784i
\(554\) 4.82967 1.45637i 0.205193 0.0618753i
\(555\) −8.18307 1.35633i −0.347352 0.0575729i
\(556\) 0.348454 + 5.59926i 0.0147778 + 0.237462i
\(557\) −20.3420 + 35.2334i −0.861919 + 1.49289i 0.00815471 + 0.999967i \(0.497404\pi\)
−0.870074 + 0.492921i \(0.835929\pi\)
\(558\) 21.2727 33.9884i 0.900546 1.43884i
\(559\) 7.30223i 0.308851i
\(560\) −25.7155 + 9.67658i −1.08668 + 0.408910i
\(561\) −17.2528 + 20.9956i −0.728412 + 0.886433i
\(562\) 4.39377 + 4.12883i 0.185340 + 0.174164i
\(563\) −38.8739 22.4439i −1.63834 0.945896i −0.981405 0.191950i \(-0.938519\pi\)
−0.656936 0.753947i \(-0.728148\pi\)
\(564\) 18.4892 + 13.3594i 0.778536 + 0.562533i
\(565\) 21.1213 + 36.5832i 0.888581 + 1.53907i
\(566\) −9.24394 30.6550i −0.388552 1.28853i
\(567\) −9.74032 + 21.7285i −0.409055 + 0.912510i
\(568\) −1.09028 + 1.31519i −0.0457470 + 0.0551840i
\(569\) 12.8893 7.44164i 0.540347 0.311970i −0.204872 0.978789i \(-0.565678\pi\)
0.745220 + 0.666819i \(0.232345\pi\)
\(570\) 20.5880 + 26.9578i 0.862335 + 1.12914i
\(571\) 6.27344 + 3.62197i 0.262535 + 0.151575i 0.625490 0.780232i \(-0.284899\pi\)
−0.362955 + 0.931807i \(0.618232\pi\)
\(572\) 5.35444 + 2.66251i 0.223880 + 0.111325i
\(573\) 5.60010 + 4.60179i 0.233948 + 0.192243i
\(574\) 19.1233 11.1656i 0.798193 0.466042i
\(575\) 8.95423i 0.373417i
\(576\) −18.8763 14.8217i −0.786514 0.617572i
\(577\) 20.2309 + 11.6803i 0.842223 + 0.486258i 0.858019 0.513617i \(-0.171695\pi\)
−0.0157961 + 0.999875i \(0.505028\pi\)
\(578\) 8.16969 + 1.91911i 0.339814 + 0.0798246i
\(579\) −45.0784 7.47165i −1.87339 0.310511i
\(580\) −3.90247 5.88237i −0.162041 0.244252i
\(581\) 0.185188 0.625142i 0.00768291 0.0259353i
\(582\) −4.80997 + 11.5379i −0.199380 + 0.478260i
\(583\) −2.75758 4.77627i −0.114207 0.197813i
\(584\) −1.46705 3.95712i −0.0607069 0.163747i
\(585\) 2.29334 6.72810i 0.0948180 0.278173i
\(586\) 6.14289 + 5.77249i 0.253761 + 0.238459i
\(587\) 8.33175i 0.343888i 0.985107 + 0.171944i \(0.0550048\pi\)
−0.985107 + 0.171944i \(0.944995\pi\)
\(588\) 23.9599 + 3.73155i 0.988089 + 0.153886i
\(589\) 50.4096i 2.07709i
\(590\) −4.36262 + 4.64256i −0.179606 + 0.191131i
\(591\) 7.72990 + 20.5772i 0.317966 + 0.846432i
\(592\) −5.88313 + 4.45294i −0.241795 + 0.183015i
\(593\) 19.8845 + 34.4410i 0.816560 + 1.41432i 0.908202 + 0.418531i \(0.137455\pi\)
−0.0916424 + 0.995792i \(0.529212\pi\)
\(594\) −4.78029 + 23.5954i −0.196138 + 0.968131i
\(595\) 9.34332 31.5403i 0.383039 1.29303i
\(596\) 28.8996 19.1725i 1.18377 0.785338i
\(597\) −0.307278 + 1.85389i −0.0125761 + 0.0758746i
\(598\) 1.51855 6.46447i 0.0620980 0.264352i
\(599\) 12.0202 + 6.93989i 0.491134 + 0.283556i 0.725045 0.688702i \(-0.241819\pi\)
−0.233911 + 0.972258i \(0.575152\pi\)
\(600\) 5.58580 + 6.44150i 0.228039 + 0.262973i
\(601\) 17.2223i 0.702512i −0.936279 0.351256i \(-0.885755\pi\)
0.936279 0.351256i \(-0.114245\pi\)
\(602\) 15.0952 + 25.8537i 0.615236 + 1.05372i
\(603\) 36.9180 7.29510i 1.50342 0.297080i
\(604\) 22.9780 + 11.4259i 0.934963 + 0.464912i
\(605\) −0.599803 0.346296i −0.0243855 0.0140790i
\(606\) −10.8688 14.2315i −0.441515 0.578116i
\(607\) 7.37230 4.25640i 0.299233 0.172762i −0.342865 0.939385i \(-0.611398\pi\)
0.642098 + 0.766622i \(0.278064\pi\)
\(608\) 30.0022 + 3.20492i 1.21675 + 0.129977i
\(609\) 0.444110 + 6.21417i 0.0179962 + 0.251811i
\(610\) −33.2086 + 10.0139i −1.34458 + 0.405453i
\(611\) 3.00479 + 5.20445i 0.121561 + 0.210549i
\(612\) 27.7883 7.31025i 1.12327 0.295500i
\(613\) −36.3973 21.0140i −1.47007 0.848747i −0.470637 0.882327i \(-0.655976\pi\)
−0.999436 + 0.0335801i \(0.989309\pi\)
\(614\) 5.25007 5.58695i 0.211876 0.225471i
\(615\) −20.5619 16.8964i −0.829134 0.681328i
\(616\) 24.4615 1.64209i 0.985581 0.0661619i
\(617\) 16.0083i 0.644471i 0.946660 + 0.322236i \(0.104434\pi\)
−0.946660 + 0.322236i \(0.895566\pi\)
\(618\) −1.88098 + 0.243276i −0.0756641 + 0.00978600i
\(619\) 10.1543 17.5878i 0.408136 0.706913i −0.586545 0.809917i \(-0.699512\pi\)
0.994681 + 0.103004i \(0.0328455\pi\)
\(620\) 3.04803 + 48.9784i 0.122412 + 1.96702i
\(621\) 26.7214 0.824208i 1.07229 0.0330743i
\(622\) 9.94672 + 32.9856i 0.398827 + 1.32260i
\(623\) −2.23161 9.29609i −0.0894075 0.372440i
\(624\) −2.94023 5.59771i −0.117704 0.224088i
\(625\) 15.3365 + 26.5636i 0.613460 + 1.06254i
\(626\) −5.28008 + 22.4774i −0.211035 + 0.898377i
\(627\) −10.6437 28.3336i −0.425067 1.13154i
\(628\) 30.6357 + 15.2337i 1.22250 + 0.607890i
\(629\) 8.83363i 0.352220i
\(630\) −5.78878 28.5618i −0.230630 1.13793i
\(631\) −28.0435 −1.11639 −0.558197 0.829708i \(-0.688507\pi\)
−0.558197 + 0.829708i \(0.688507\pi\)
\(632\) 0.0593316 0.348627i 0.00236008 0.0138676i
\(633\) 12.7942 4.80620i 0.508524 0.191029i
\(634\) 27.3747 + 6.43048i 1.08719 + 0.255387i
\(635\) 3.59734 2.07693i 0.142756 0.0824203i
\(636\) −0.594383 + 5.80118i −0.0235688 + 0.230032i
\(637\) 5.35767 + 3.47960i 0.212279 + 0.137867i
\(638\) 1.81851 + 6.03062i 0.0719957 + 0.238754i
\(639\) −1.19299 1.36381i −0.0471941 0.0539516i
\(640\) 29.3441 + 1.29984i 1.15993 + 0.0513805i
\(641\) −9.80778 5.66252i −0.387384 0.223656i 0.293642 0.955915i \(-0.405133\pi\)
−0.681026 + 0.732259i \(0.738466\pi\)
\(642\) 4.56473 + 35.2939i 0.180155 + 1.39294i
\(643\) 32.8892 1.29702 0.648512 0.761204i \(-0.275392\pi\)
0.648512 + 0.761204i \(0.275392\pi\)
\(644\) −7.98698 26.0268i −0.314731 1.02560i
\(645\) 22.8430 27.7985i 0.899441 1.09457i
\(646\) −24.7376 + 26.3249i −0.973288 + 1.03574i
\(647\) 13.6188 23.5884i 0.535409 0.927356i −0.463734 0.885974i \(-0.653491\pi\)
0.999143 0.0413818i \(-0.0131760\pi\)
\(648\) 18.7087 17.2622i 0.734948 0.678123i
\(649\) 4.92296 2.84227i 0.193243 0.111569i
\(650\) 0.648504 + 2.15059i 0.0254364 + 0.0843531i
\(651\) 18.9259 38.9552i 0.741763 1.52678i
\(652\) −27.6263 41.6424i −1.08193 1.63084i
\(653\) −12.2895 21.2860i −0.480926 0.832987i 0.518835 0.854874i \(-0.326366\pi\)
−0.999760 + 0.0218870i \(0.993033\pi\)
\(654\) −21.9765 28.7759i −0.859350 1.12523i
\(655\) −11.9417 + 20.6837i −0.466602 + 0.808179i
\(656\) −23.4907 + 2.93512i −0.917156 + 0.114597i
\(657\) 4.39140 0.867753i 0.171325 0.0338543i
\(658\) 21.3972 + 12.2149i 0.834150 + 0.476188i
\(659\) −12.1725 −0.474172 −0.237086 0.971489i \(-0.576192\pi\)
−0.237086 + 0.971489i \(0.576192\pi\)
\(660\) −12.0547 26.8856i −0.469227 1.04652i
\(661\) 4.00322 6.93378i 0.155707 0.269693i −0.777609 0.628748i \(-0.783568\pi\)
0.933316 + 0.359055i \(0.116901\pi\)
\(662\) 0.710650 3.02524i 0.0276202 0.117579i
\(663\) 7.46816 + 1.23783i 0.290039 + 0.0480734i
\(664\) −0.444840 + 0.536604i −0.0172631 + 0.0208243i
\(665\) 25.2195 + 26.5768i 0.977970 + 1.03060i
\(666\) −3.66901 6.91254i −0.142171 0.267855i
\(667\) 6.05752 3.49731i 0.234548 0.135416i
\(668\) −1.22893 19.7475i −0.0475487 0.764054i
\(669\) 18.7098 7.02843i 0.723364 0.271735i
\(670\) −31.5393 + 33.5631i −1.21847 + 1.29666i
\(671\) 30.9497 1.19480
\(672\) −21.9816 13.7407i −0.847960 0.530061i
\(673\) 18.1260 0.698706 0.349353 0.936991i \(-0.386401\pi\)
0.349353 + 0.936991i \(0.386401\pi\)
\(674\) −28.4856 + 30.3135i −1.09723 + 1.16763i
\(675\) −7.68858 + 4.76094i −0.295934 + 0.183249i
\(676\) 1.51145 + 24.2872i 0.0581325 + 0.934123i
\(677\) 39.1458 22.6008i 1.50449 0.868620i 0.504508 0.863407i \(-0.331674\pi\)
0.999986 0.00521277i \(-0.00165928\pi\)
\(678\) −15.3358 + 36.7865i −0.588967 + 1.41278i
\(679\) −3.83499 + 12.9458i −0.147173 + 0.496815i
\(680\) −22.4435 + 27.0733i −0.860670 + 1.03821i
\(681\) −4.40922 + 26.6020i −0.168962 + 1.01939i
\(682\) 10.0134 42.6274i 0.383435 1.63229i
\(683\) 6.38047 11.0513i 0.244142 0.422866i −0.717748 0.696303i \(-0.754827\pi\)
0.961890 + 0.273437i \(0.0881604\pi\)
\(684\) −8.42384 + 30.8746i −0.322094 + 1.18052i
\(685\) −7.31285 −0.279410
\(686\) 26.1620 + 1.24417i 0.998871 + 0.0475025i
\(687\) 3.91996 4.77036i 0.149556 0.182000i
\(688\) −3.96811 31.7581i −0.151283 1.21077i
\(689\) −0.768176 + 1.33052i −0.0292652 + 0.0506888i
\(690\) −26.0032 + 19.8589i −0.989924 + 0.756017i
\(691\) −7.47003 12.9385i −0.284173 0.492203i 0.688235 0.725488i \(-0.258386\pi\)
−0.972408 + 0.233285i \(0.925052\pi\)
\(692\) 17.0764 + 25.7401i 0.649149 + 0.978490i
\(693\) −2.41250 + 25.8916i −0.0916433 + 0.983539i
\(694\) 5.25077 + 17.4128i 0.199316 + 0.660980i
\(695\) 6.30686 3.64127i 0.239233 0.138121i
\(696\) 2.17598 6.29468i 0.0824803 0.238599i
\(697\) 14.1713 24.5454i 0.536776 0.929724i
\(698\) −29.1087 + 30.9765i −1.10178 + 1.17248i
\(699\) −10.2087 8.38887i −0.386130 0.317296i
\(700\) 6.74177 + 6.27362i 0.254815 + 0.237121i
\(701\) 14.3141 0.540636 0.270318 0.962771i \(-0.412871\pi\)
0.270318 + 0.962771i \(0.412871\pi\)
\(702\) 6.35815 2.13324i 0.239973 0.0805138i
\(703\) 8.52061 + 4.91938i 0.321361 + 0.185538i
\(704\) −24.7338 8.66982i −0.932190 0.326756i
\(705\) 4.84186 29.2122i 0.182355 1.10020i
\(706\) −9.88634 32.7854i −0.372077 1.23389i
\(707\) −13.3139 14.0304i −0.500719 0.527668i
\(708\) −5.97934 0.612637i −0.224717 0.0230243i
\(709\) 5.67964 3.27914i 0.213303 0.123151i −0.389542 0.921009i \(-0.627367\pi\)
0.602846 + 0.797858i \(0.294033\pi\)
\(710\) 2.15885 + 0.507128i 0.0810202 + 0.0190322i
\(711\) 0.355033 + 0.121017i 0.0133148 + 0.00453848i
\(712\) −1.71470 + 10.0754i −0.0642610 + 0.377592i
\(713\) −48.6246 −1.82100
\(714\) 29.0001 11.0557i 1.08530 0.413749i
\(715\) 7.76255i 0.290303i
\(716\) 21.7571 + 10.8188i 0.813101 + 0.404316i
\(717\) −21.5236 + 8.08543i −0.803813 + 0.301956i
\(718\) 1.18336 5.03757i 0.0441626 0.188001i
\(719\) −19.5665 33.8902i −0.729708 1.26389i −0.957007 0.290066i \(-0.906323\pi\)
0.227299 0.973825i \(-0.427010\pi\)
\(720\) −6.31783 + 30.5074i −0.235452 + 1.13694i
\(721\) −1.99202 + 0.478202i −0.0741866 + 0.0178092i
\(722\) −3.85838 12.7953i −0.143594 0.476192i
\(723\) −3.24677 + 19.5886i −0.120749 + 0.728508i
\(724\) −0.176301 2.83295i −0.00655216 0.105286i
\(725\) −1.18303 + 2.04906i −0.0439365 + 0.0761002i
\(726\) −0.0838155 0.648051i −0.00311068 0.0240514i
\(727\) 34.4829i 1.27890i −0.768833 0.639450i \(-0.779162\pi\)
0.768833 0.639450i \(-0.220838\pi\)
\(728\) −3.80325 5.67255i −0.140958 0.210239i
\(729\) 14.9154 + 22.5062i 0.552423 + 0.833564i
\(730\) −3.75161 + 3.99234i −0.138853 + 0.147763i
\(731\) 33.1841 + 19.1588i 1.22736 + 0.708615i
\(732\) −26.5255 19.1660i −0.980410 0.708397i
\(733\) −9.89201 17.1335i −0.365370 0.632839i 0.623466 0.781851i \(-0.285724\pi\)
−0.988835 + 0.149012i \(0.952391\pi\)
\(734\) 23.7567 7.16376i 0.876876 0.264419i
\(735\) −9.51092 30.0063i −0.350815 1.10680i
\(736\) −3.09143 + 28.9398i −0.113952 + 1.06673i
\(737\) 35.5902 20.5480i 1.31098 0.756896i
\(738\) 0.894557 25.0934i 0.0329291 0.923701i
\(739\) 6.03595 + 3.48486i 0.222036 + 0.128193i 0.606893 0.794784i \(-0.292416\pi\)
−0.384857 + 0.922976i \(0.625749\pi\)
\(740\) 8.57615 + 4.26451i 0.315266 + 0.156766i
\(741\) −5.35292 + 6.51418i −0.196645 + 0.239305i
\(742\) 0.0307204 + 6.29872i 0.00112778 + 0.231233i
\(743\) 45.3956i 1.66540i 0.553723 + 0.832701i \(0.313207\pi\)
−0.553723 + 0.832701i \(0.686793\pi\)
\(744\) −34.9796 + 30.3329i −1.28241 + 1.11206i
\(745\) −38.9883 22.5099i −1.42842 0.824700i
\(746\) −1.21623 + 5.17752i −0.0445295 + 0.189562i
\(747\) −0.486749 0.556443i −0.0178092 0.0203592i
\(748\) 26.1478 17.3470i 0.956060 0.634268i
\(749\) 8.97277 + 37.3774i 0.327858 + 1.36574i
\(750\) −7.97639 + 19.1333i −0.291257 + 0.698648i
\(751\) −10.3669 17.9560i −0.378293 0.655223i 0.612521 0.790455i \(-0.290156\pi\)
−0.990814 + 0.135231i \(0.956822\pi\)
\(752\) −15.8963 21.0018i −0.579677 0.765857i
\(753\) 2.34949 0.882594i 0.0856200 0.0321635i
\(754\) 1.20158 1.27868i 0.0437590 0.0465668i
\(755\) 33.3122i 1.21236i
\(756\) 18.1013 20.6964i 0.658339 0.752721i
\(757\) 30.3555i 1.10329i −0.834079 0.551645i \(-0.814000\pi\)
0.834079 0.551645i \(-0.186000\pi\)
\(758\) 12.6555 + 11.8924i 0.459668 + 0.431951i
\(759\) 27.3303 10.2668i 0.992029 0.372660i
\(760\) −13.6153 36.7251i −0.493880 1.33216i
\(761\) 6.12394 + 10.6070i 0.221993 + 0.384503i 0.955413 0.295273i \(-0.0954106\pi\)
−0.733420 + 0.679775i \(0.762077\pi\)
\(762\) 3.61733 + 1.50802i 0.131042 + 0.0546296i
\(763\) −26.9204 28.3693i −0.974585 1.02704i
\(764\) −4.62693 6.97436i −0.167396 0.252324i
\(765\) −24.5580 28.0743i −0.887896 1.01503i
\(766\) −10.3948 2.44180i −0.375579 0.0882259i
\(767\) −1.37138 0.791767i −0.0495177 0.0285890i
\(768\) 15.8292 + 22.7472i 0.571188 + 0.820819i
\(769\) 19.0816i 0.688100i 0.938951 + 0.344050i \(0.111799\pi\)
−0.938951 + 0.344050i \(0.888201\pi\)
\(770\) −16.0468 27.4835i −0.578288 0.990437i
\(771\) −13.2709 + 16.1499i −0.477940 + 0.581624i
\(772\) 47.2437 + 23.4920i 1.70034 + 0.845497i