Properties

Label 168.2.ba.c.101.2
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 101.2
Character \(\chi\) \(=\) 168.101
Dual form 168.2.ba.c.5.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.37674 + 0.323405i) q^{2} +(-0.609093 - 1.62142i) q^{3} +(1.79082 - 0.890488i) q^{4} +(2.24840 - 1.29811i) q^{5} +(1.36294 + 2.03529i) q^{6} +(-2.53678 - 0.751482i) q^{7} +(-2.17750 + 1.80513i) q^{8} +(-2.25801 + 1.97519i) q^{9} +O(q^{10})\) \(q+(-1.37674 + 0.323405i) q^{2} +(-0.609093 - 1.62142i) q^{3} +(1.79082 - 0.890488i) q^{4} +(2.24840 - 1.29811i) q^{5} +(1.36294 + 2.03529i) q^{6} +(-2.53678 - 0.751482i) q^{7} +(-2.17750 + 1.80513i) q^{8} +(-2.25801 + 1.97519i) q^{9} +(-2.67564 + 2.51430i) q^{10} +(1.63808 - 2.83724i) q^{11} +(-2.53463 - 2.36128i) q^{12} -0.912635 q^{13} +(3.73552 + 0.214186i) q^{14} +(-3.47427 - 2.85492i) q^{15} +(2.41406 - 3.18940i) q^{16} +(2.39448 - 4.14736i) q^{17} +(2.46990 - 3.44958i) 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} +(4.25317 + 2.43115i) q^{24} +(0.870190 - 1.50721i) q^{25} +(1.25646 - 0.295151i) q^{26} +(4.57796 + 2.45811i) q^{27} +(-5.21211 + 0.913209i) q^{28} +1.35950 q^{29} +(5.70646 + 2.80689i) q^{30} +(8.18469 + 4.72543i) q^{31} +(-2.29206 + 5.17170i) q^{32} +(-5.59810 - 0.927874i) q^{33} +(-1.95529 + 6.48421i) q^{34} +(-6.67920 + 1.60340i) q^{35} +(-2.28480 + 5.54794i) q^{36} +(-1.59746 + 0.922292i) q^{37} +(5.16556 + 5.49701i) q^{38} +(0.555880 + 1.47977i) q^{39} +(-2.55263 + 6.88528i) q^{40} +5.91833 q^{41} +(-1.92800 - 6.18731i) q^{42} -8.00125i q^{43} +(0.406978 - 6.53967i) q^{44} +(-2.51288 + 7.37217i) q^{45} +(5.30236 - 4.98264i) q^{46} +(3.29243 + 5.70266i) q^{47} +(-6.64176 - 1.97156i) q^{48} +(5.87055 + 3.81269i) q^{49} +(-0.710584 + 2.35646i) q^{50} +(-8.18307 - 1.35633i) q^{51} +(-1.63436 + 0.812691i) q^{52} +(0.841712 - 1.45789i) q^{53} +(-7.09762 - 1.90364i) q^{54} -8.50565i q^{55} +(6.88037 - 2.94287i) q^{56} +(-5.86535 + 7.13777i) q^{57} +(-1.87168 + 0.439670i) q^{58} +(1.50266 + 0.867561i) q^{59} +(-8.76406 - 2.01886i) 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} +(8.00720 - 0.533013i) q^{66} +(10.8634 + 6.27198i) q^{67} +(0.594903 - 9.55942i) q^{68} +(6.88502 + 5.65766i) q^{69} +(8.67697 - 4.36755i) q^{70} +0.603989i q^{71} +(1.35134 - 8.37699i) q^{72} +(-1.29220 - 0.746053i) q^{73} +(1.90101 - 1.78638i) q^{74} +(-2.97385 - 0.492910i) q^{75} +(-8.88938 - 5.89738i) q^{76} +(-6.28759 + 5.96647i) q^{77} +(-1.24387 - 1.85748i) q^{78} +(-0.0625152 - 0.108280i) q^{79} +(1.28756 - 10.3048i) q^{80} +(1.19722 - 8.92001i) q^{81} +(-8.14799 + 1.91402i) q^{82} -0.246431i q^{83} +(4.65536 + 7.89479i) q^{84} -12.4332i q^{85} +(2.58764 + 11.0156i) q^{86} +(-0.828064 - 2.20433i) q^{87} +(1.55466 + 9.13504i) q^{88} +(1.80671 + 3.12931i) q^{89} +(1.07538 - 10.9622i) q^{90} +(2.31516 + 0.685829i) q^{91} +(-5.68856 + 8.57461i) q^{92} +(2.67667 - 16.1491i) q^{93} +(-6.37708 - 6.78628i) q^{94} +(-11.9926 - 6.92395i) q^{95} +(9.78158 + 0.566352i) q^{96} -5.10324i q^{97} +(-9.31526 - 3.35052i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.37674 + 0.323405i −0.973501 + 0.228682i
\(3\) −0.609093 1.62142i −0.351660 0.936128i
\(4\) 1.79082 0.890488i 0.895409 0.445244i
\(5\) 2.24840 1.29811i 1.00551 0.580533i 0.0956384 0.995416i \(-0.469511\pi\)
0.909875 + 0.414883i \(0.136177\pi\)
\(6\) 1.36294 + 2.03529i 0.556417 + 0.830903i
\(7\) −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
\(10\) −2.67564 + 2.51430i −0.846111 + 0.795093i
\(11\) 1.63808 2.83724i 0.493900 0.855460i −0.506075 0.862489i \(-0.668904\pi\)
0.999975 + 0.00702958i \(0.00223760\pi\)
\(12\) −2.53463 2.36128i −0.731685 0.681643i
\(13\) −0.912635 −0.253119 −0.126560 0.991959i \(-0.540394\pi\)
−0.126560 + 0.991959i \(0.540394\pi\)
\(14\) 3.73552 + 0.214186i 0.998360 + 0.0572435i
\(15\) −3.47427 2.85492i −0.897052 0.737138i
\(16\) 2.41406 3.18940i 0.603516 0.797351i
\(17\) 2.39448 4.14736i 0.580746 1.00588i −0.414645 0.909983i \(-0.636094\pi\)
0.995391 0.0958985i \(-0.0305724\pi\)
\(18\) 2.46990 3.44958i 0.582162 0.813073i
\(19\) −2.66693 4.61926i −0.611836 1.05973i −0.990931 0.134373i \(-0.957098\pi\)
0.379095 0.925358i \(-0.376235\pi\)
\(20\) 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 \(0.513550\pi\)
\(24\) 4.25317 + 2.43115i 0.868176 + 0.496257i
\(25\) 0.870190 1.50721i 0.174038 0.301443i
\(26\) 1.25646 0.295151i 0.246412 0.0578838i
\(27\) 4.57796 + 2.45811i 0.881029 + 0.473063i
\(28\) −5.21211 + 0.913209i −0.984995 + 0.172580i
\(29\) 1.35950 0.252453 0.126227 0.992001i \(-0.459713\pi\)
0.126227 + 0.992001i \(0.459713\pi\)
\(30\) 5.70646 + 2.80689i 1.04185 + 0.512465i
\(31\) 8.18469 + 4.72543i 1.47001 + 0.848713i 0.999434 0.0336443i \(-0.0107113\pi\)
0.470580 + 0.882357i \(0.344045\pi\)
\(32\) −2.29206 + 5.17170i −0.405183 + 0.914235i
\(33\) −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
\(36\) −2.28480 + 5.54794i −0.380800 + 0.924657i
\(37\) −1.59746 + 0.922292i −0.262620 + 0.151624i −0.625529 0.780201i \(-0.715117\pi\)
0.362909 + 0.931825i \(0.381784\pi\)
\(38\) 5.16556 + 5.49701i 0.837964 + 0.891733i
\(39\) 0.555880 + 1.47977i 0.0890121 + 0.236952i
\(40\) −2.55263 + 6.88528i −0.403605 + 1.08866i
\(41\) 5.91833 0.924288 0.462144 0.886805i \(-0.347080\pi\)
0.462144 + 0.886805i \(0.347080\pi\)
\(42\) −1.92800 6.18731i −0.297496 0.954723i
\(43\) 8.00125i 1.22018i −0.792332 0.610090i \(-0.791133\pi\)
0.792332 0.610090i \(-0.208867\pi\)
\(44\) 0.406978 6.53967i 0.0613542 0.985892i
\(45\) −2.51288 + 7.37217i −0.374598 + 1.09898i
\(46\) 5.30236 4.98264i 0.781791 0.734650i
\(47\) 3.29243 + 5.70266i 0.480250 + 0.831818i 0.999743 0.0226567i \(-0.00721246\pi\)
−0.519493 + 0.854475i \(0.673879\pi\)
\(48\) −6.64176 1.97156i −0.958655 0.284571i
\(49\) 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
\(52\) −1.63436 + 0.812691i −0.226646 + 0.112700i
\(53\) 0.841712 1.45789i 0.115618 0.200256i −0.802409 0.596775i \(-0.796448\pi\)
0.918027 + 0.396519i \(0.129782\pi\)
\(54\) −7.09762 1.90364i −0.965863 0.259052i
\(55\) 8.50565i 1.14690i
\(56\) 6.88037 2.94287i 0.919428 0.393258i
\(57\) −5.86535 + 7.13777i −0.776885 + 0.945421i
\(58\) −1.87168 + 0.439670i −0.245764 + 0.0577315i
\(59\) 1.50266 + 0.867561i 0.195630 + 0.112947i 0.594615 0.804010i \(-0.297304\pi\)
−0.398986 + 0.916957i \(0.630638\pi\)
\(60\) −8.76406 2.01886i −1.13144 0.260633i
\(61\) 4.72347 + 8.18130i 0.604779 + 1.04751i 0.992086 + 0.125557i \(0.0400718\pi\)
−0.387308 + 0.921951i \(0.626595\pi\)
\(62\) −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
\(66\) 8.00720 0.533013i 0.985618 0.0656094i
\(67\) 10.8634 + 6.27198i 1.32717 + 0.766245i 0.984862 0.173341i \(-0.0554564\pi\)
0.342313 + 0.939586i \(0.388790\pi\)
\(68\) 0.594903 9.55942i 0.0721426 1.15925i
\(69\) 6.88502 + 5.65766i 0.828860 + 0.681102i
\(70\) 8.67697 4.36755i 1.03710 0.522022i
\(71\) 0.603989i 0.0716803i 0.999358 + 0.0358401i \(0.0114107\pi\)
−0.999358 + 0.0358401i \(0.988589\pi\)
\(72\) 1.35134 8.37699i 0.159257 0.987237i
\(73\) −1.29220 0.746053i −0.151241 0.0873189i 0.422470 0.906377i \(-0.361163\pi\)
−0.573711 + 0.819058i \(0.694497\pi\)
\(74\) 1.90101 1.78638i 0.220988 0.207663i
\(75\) −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
\(78\) −1.24387 1.85748i −0.140840 0.210318i
\(79\) −0.0625152 0.108280i −0.00703351 0.0121824i 0.862487 0.506079i \(-0.168906\pi\)
−0.869521 + 0.493896i \(0.835572\pi\)
\(80\) 1.28756 10.3048i 0.143954 1.15211i
\(81\) 1.19722 8.92001i 0.133025 0.991113i
\(82\) −8.14799 + 1.91402i −0.899795 + 0.211368i
\(83\) 0.246431i 0.0270493i −0.999909 0.0135247i \(-0.995695\pi\)
0.999909 0.0135247i \(-0.00430516\pi\)
\(84\) 4.65536 + 7.89479i 0.507941 + 0.861392i
\(85\) 12.4332i 1.34857i
\(86\) 2.58764 + 11.0156i 0.279033 + 1.18785i
\(87\) −0.828064 2.20433i −0.0887778 0.236329i
\(88\) 1.55466 + 9.13504i 0.165727 + 0.973798i
\(89\) 1.80671 + 3.12931i 0.191511 + 0.331706i 0.945751 0.324892i \(-0.105328\pi\)
−0.754241 + 0.656598i \(0.771995\pi\)
\(90\) 1.07538 10.9622i 0.113355 1.15552i
\(91\) 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
\(94\) −6.37708 6.78628i −0.657746 0.699951i
\(95\) −11.9926 6.92395i −1.23042 0.710382i
\(96\) 9.78158 + 0.566352i 0.998328 + 0.0578031i
\(97\) 5.10324i 0.518155i −0.965857 0.259078i \(-0.916581\pi\)
0.965857 0.259078i \(-0.0834185\pi\)
\(98\) −9.31526 3.35052i −0.940983 0.338454i
\(99\) 1.90529 + 9.64204i 0.191489 + 0.969061i
\(100\) 0.216197 3.47404i 0.0216197 0.347404i
\(101\) −6.33114 3.65529i −0.629972 0.363715i 0.150769 0.988569i \(-0.451825\pi\)
−0.780741 + 0.624854i \(0.785158\pi\)
\(102\) 11.7046 0.779137i 1.15893 0.0771460i
\(103\) 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 \(0.0811638\pi\)
−0.265397 + 0.964139i \(0.585503\pi\)
\(108\) 10.3872 + 0.325406i 0.999510 + 0.0313122i
\(109\) −12.8015 7.39093i −1.22616 0.707923i −0.259934 0.965626i \(-0.583701\pi\)
−0.966224 + 0.257703i \(0.917034\pi\)
\(110\) 2.75077 + 11.7101i 0.262275 + 1.11651i
\(111\) 2.46842 + 2.02839i 0.234292 + 0.192526i
\(112\) −8.52073 + 6.27671i −0.805134 + 0.593093i
\(113\) 16.2708i 1.53063i −0.643657 0.765314i \(-0.722584\pi\)
0.643657 0.765314i \(-0.277416\pi\)
\(114\) 5.76666 11.7237i 0.540097 1.09803i
\(115\) −6.67877 + 11.5680i −0.622798 + 1.07872i
\(116\) 2.43462 1.21062i 0.226049 0.112403i
\(117\) 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
\(120\) 12.7187 0.0549029i 1.16106 0.00501193i
\(121\) 0.133385 + 0.231029i 0.0121259 + 0.0210026i
\(122\) −9.14886 9.73591i −0.828299 0.881448i
\(123\) −3.60482 9.59610i −0.325035 0.865251i
\(124\) 18.8652 + 1.17402i 1.69415 + 0.105431i
\(125\) 8.46270i 0.756927i
\(126\) −8.85790 + 6.89475i −0.789125 + 0.614233i
\(127\) −1.59996 −0.141973 −0.0709867 0.997477i \(-0.522615\pi\)
−0.0709867 + 0.997477i \(0.522615\pi\)
\(128\) 0.500664 + 11.3026i 0.0442529 + 0.999020i
\(129\) −12.9734 + 4.87351i −1.14224 + 0.429089i
\(130\) 2.44188 2.29464i 0.214167 0.201253i
\(131\) −7.96684 + 4.59965i −0.696066 + 0.401874i −0.805880 0.592078i \(-0.798308\pi\)
0.109815 + 0.993952i \(0.464974\pi\)
\(132\) −10.8514 + 3.32339i −0.944497 + 0.289264i
\(133\) 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
\(136\) 2.27254 + 13.3532i 0.194868 + 1.14503i
\(137\) 2.43936 + 1.40836i 0.208408 + 0.120325i 0.600571 0.799571i \(-0.294940\pi\)
−0.392163 + 0.919896i \(0.628273\pi\)
\(138\) −11.3086 5.56246i −0.962651 0.473508i
\(139\) 2.80505 0.237921 0.118960 0.992899i \(-0.462044\pi\)
0.118960 + 0.992899i \(0.462044\pi\)
\(140\) −10.5334 + 8.81915i −0.890237 + 0.745354i
\(141\) 7.24101 8.81187i 0.609803 0.742093i
\(142\) −0.195333 0.831534i −0.0163920 0.0697808i
\(143\) −1.49497 + 2.58936i −0.125016 + 0.216533i
\(144\) 0.848715 + 11.9699i 0.0707263 + 0.997496i
\(145\) 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 \(-0.915228\pi\)
0.254451 0.967086i \(-0.418105\pi\)
\(150\) 4.25363 0.283150i 0.347307 0.0231191i
\(151\) −6.41551 + 11.1120i −0.522087 + 0.904281i 0.477583 + 0.878587i \(0.341513\pi\)
−0.999670 + 0.0256942i \(0.991820\pi\)
\(152\) 14.1456 + 5.24429i 1.14736 + 0.425368i
\(153\) 2.78508 + 14.0943i 0.225160 + 1.13946i
\(154\) 6.72678 10.2477i 0.542059 0.825784i
\(155\) 24.5366 1.97082
\(156\) 2.31319 + 2.15499i 0.185204 + 0.172537i
\(157\) 8.55356 14.8152i 0.682648 1.18238i −0.291521 0.956564i \(-0.594161\pi\)
0.974170 0.225817i \(-0.0725052\pi\)
\(158\) 0.121085 + 0.128855i 0.00963302 + 0.0102511i
\(159\) −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
\(162\) 1.23652 + 12.6677i 0.0971499 + 0.995270i
\(163\) −21.6390 + 12.4933i −1.69489 + 0.978547i −0.744436 + 0.667694i \(0.767282\pi\)
−0.950458 + 0.310853i \(0.899385\pi\)
\(164\) 10.5987 5.27020i 0.827616 0.411534i
\(165\) −13.7912 + 5.18073i −1.07365 + 0.403320i
\(166\) 0.0796970 + 0.339271i 0.00618568 + 0.0263325i
\(167\) 9.89286 0.765532 0.382766 0.923845i \(-0.374972\pi\)
0.382766 + 0.923845i \(0.374972\pi\)
\(168\) −8.96242 9.36349i −0.691466 0.722409i
\(169\) −12.1671 −0.935931
\(170\) 4.02096 + 17.1173i 0.308393 + 1.31283i
\(171\) 15.1459 + 5.16263i 1.15823 + 0.394796i
\(172\) −7.12502 14.3288i −0.543278 1.09256i
\(173\) 13.3755 7.72235i 1.01692 0.587120i 0.103710 0.994608i \(-0.466929\pi\)
0.913211 + 0.407488i \(0.133595\pi\)
\(174\) 1.85292 + 2.76698i 0.140469 + 0.209764i
\(175\) −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
\(178\) −3.49940 3.72394i −0.262291 0.279121i
\(179\) 6.07462 10.5216i 0.454038 0.786418i −0.544594 0.838700i \(-0.683316\pi\)
0.998632 + 0.0522822i \(0.0166495\pi\)
\(180\) 2.06472 + 15.4399i 0.153895 + 1.15082i
\(181\) −1.41922 −0.105489 −0.0527447 0.998608i \(-0.516797\pi\)
−0.0527447 + 0.998608i \(0.516797\pi\)
\(182\) −3.40917 0.195473i −0.252704 0.0144894i
\(183\) 10.3883 12.6419i 0.767924 0.934517i
\(184\) 5.05858 13.6447i 0.372924 1.00590i
\(185\) −2.39448 + 4.14736i −0.176045 + 0.304920i
\(186\) 1.53760 + 23.0987i 0.112743 + 1.69368i
\(187\) −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 \(0.284955\pi\)
\(192\) −13.6498 + 2.38369i −0.985092 + 0.172028i
\(193\) −13.1905 + 22.8467i −0.949476 + 1.64454i −0.202946 + 0.979190i \(0.565051\pi\)
−0.746531 + 0.665351i \(0.768282\pi\)
\(194\) 1.65041 + 7.02582i 0.118493 + 0.504425i
\(195\) 3.17074 + 2.60550i 0.227061 + 0.186584i
\(196\) 13.9082 + 1.60019i 0.993446 + 0.114299i
\(197\) −12.6908 −0.904184 −0.452092 0.891971i \(-0.649322\pi\)
−0.452092 + 0.891971i \(0.649322\pi\)
\(198\) −5.74137 12.6584i −0.408022 0.899592i
\(199\) 0.939591 + 0.542473i 0.0666058 + 0.0384549i 0.532933 0.846157i \(-0.321090\pi\)
−0.466327 + 0.884612i \(0.654423\pi\)
\(200\) 0.825874 + 4.85276i 0.0583981 + 0.343142i
\(201\) 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
\(204\) −15.8622 + 4.85799i −1.11058 + 0.340127i
\(205\) 13.3067 7.68265i 0.929384 0.536580i
\(206\) −0.797987 + 0.749871i −0.0555984 + 0.0522460i
\(207\) 4.97982 14.6096i 0.346121 1.01543i
\(208\) −2.20316 + 2.91076i −0.152762 + 0.201825i
\(209\) −17.4746 −1.20874
\(210\) −12.3667 11.4088i −0.853385 0.787280i
\(211\) 7.89074i 0.543221i 0.962407 + 0.271610i \(0.0875562\pi\)
−0.962407 + 0.271610i \(0.912444\pi\)
\(212\) 0.209122 3.36035i 0.0143625 0.230790i
\(213\) 0.979320 0.367886i 0.0671019 0.0252071i
\(214\) −14.0703 14.9731i −0.961823 1.02354i
\(215\) −10.3865 17.9900i −0.708355 1.22691i
\(216\) −14.4057 + 2.91128i −0.980184 + 0.198087i
\(217\) −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
\(220\) −7.57418 15.2321i −0.510651 1.02695i
\(221\) −2.18528 + 3.78502i −0.146998 + 0.254608i
\(222\) −4.05437 1.99426i −0.272111 0.133846i
\(223\) 11.5392i 0.772720i −0.922348 0.386360i \(-0.873732\pi\)
0.922348 0.386360i \(-0.126268\pi\)
\(224\) 9.70091 11.3970i 0.648169 0.761496i
\(225\) 1.01214 + 5.12210i 0.0674760 + 0.341473i
\(226\) 5.26206 + 22.4006i 0.350027 + 1.49007i
\(227\) −13.4825 7.78410i −0.894862 0.516649i −0.0193323 0.999813i \(-0.506154\pi\)
−0.875530 + 0.483164i \(0.839487\pi\)
\(228\) −4.14768 + 18.0055i −0.274687 + 1.19244i
\(229\) 1.78238 + 3.08717i 0.117783 + 0.204006i 0.918889 0.394517i \(-0.129088\pi\)
−0.801106 + 0.598523i \(0.795755\pi\)
\(230\) 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 \(0.413727\pi\)
\(234\) −2.25412 + 3.14821i −0.147356 + 0.205805i
\(235\) 14.8054 + 8.54789i 0.965796 + 0.557603i
\(236\) 3.46354 + 0.215544i 0.225458 + 0.0140307i
\(237\) −0.137489 + 0.167316i −0.00893087 + 0.0108683i
\(238\) 9.83293 14.9797i 0.637374 0.970988i
\(239\) 13.2745i 0.858658i 0.903148 + 0.429329i \(0.141250\pi\)
−0.903148 + 0.429329i \(0.858750\pi\)
\(240\) −17.4926 + 4.18889i −1.12914 + 0.270391i
\(241\) 9.92793 + 5.73189i 0.639514 + 0.369224i 0.784427 0.620221i \(-0.212957\pi\)
−0.144913 + 0.989444i \(0.546290\pi\)
\(242\) −0.258352 0.274929i −0.0166075 0.0176731i
\(243\) −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
\(246\) 8.06631 + 12.0455i 0.514289 + 0.767994i
\(247\) 2.43393 + 4.21570i 0.154867 + 0.268238i
\(248\) −26.3522 + 4.48479i −1.67337 + 0.284784i
\(249\) −0.399568 + 0.150099i −0.0253216 + 0.00951217i
\(250\) −2.73688 11.6509i −0.173095 0.736870i
\(251\) 1.44903i 0.0914619i 0.998954 + 0.0457309i \(0.0145617\pi\)
−0.998954 + 0.0457309i \(0.985438\pi\)
\(252\) 9.96523 12.3570i 0.627750 0.778415i
\(253\) 16.8558i 1.05972i
\(254\) 2.20272 0.517434i 0.138211 0.0324667i
\(255\) −20.1594 + 7.57298i −1.26243 + 0.474238i
\(256\) −4.34461 15.3988i −0.271538 0.962428i
\(257\) 6.03418 + 10.4515i 0.376402 + 0.651948i 0.990536 0.137254i \(-0.0438278\pi\)
−0.614134 + 0.789202i \(0.710494\pi\)
\(258\) 16.2849 10.9052i 1.01385 0.678929i
\(259\) 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
\(262\) 9.48070 8.90904i 0.585720 0.550402i
\(263\) 21.7325 + 12.5473i 1.34008 + 0.773697i 0.986819 0.161827i \(-0.0517385\pi\)
0.353264 + 0.935524i \(0.385072\pi\)
\(264\) 13.8648 8.08485i 0.853320 0.497588i
\(265\) 4.37055i 0.268480i
\(266\) −8.97300 17.8266i −0.550170 1.09302i
\(267\) 3.97347 4.83547i 0.243172 0.295926i
\(268\) 25.0395 + 1.55826i 1.52953 + 0.0951860i
\(269\) −6.61826 3.82105i −0.403522 0.232974i 0.284480 0.958682i \(-0.408179\pi\)
−0.688003 + 0.725708i \(0.741512\pi\)
\(270\) −18.4294 + 4.93337i −1.12158 + 0.300236i
\(271\) −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
\(276\) 17.3679 + 4.00081i 1.04543 + 0.240820i
\(277\) 3.08910 + 1.78349i 0.185606 + 0.107160i 0.589924 0.807459i \(-0.299158\pi\)
−0.404318 + 0.914618i \(0.632491\pi\)
\(278\) −3.86182 + 0.907166i −0.231616 + 0.0544082i
\(279\) −27.8148 + 5.49627i −1.66523 + 0.329053i
\(280\) 11.6496 15.5482i 0.696198 0.929185i
\(281\) 4.26336i 0.254331i −0.991882 0.127165i \(-0.959412\pi\)
0.991882 0.127165i \(-0.0405879\pi\)
\(282\) −7.11918 + 14.4734i −0.423941 + 0.861879i
\(283\) 11.3202 19.6072i 0.672918 1.16553i −0.304154 0.952623i \(-0.598374\pi\)
0.977073 0.212906i \(-0.0682928\pi\)
\(284\) 0.537845 + 1.08163i 0.0319152 + 0.0641832i
\(285\) −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
\(288\) −5.03960 16.2050i −0.296961 0.954890i
\(289\) −2.96705 5.13907i −0.174532 0.302298i
\(290\) −3.63754 + 3.41820i −0.213604 + 0.200724i
\(291\) −8.27449 + 3.10835i −0.485059 + 0.182215i
\(292\) −2.97845 0.185355i −0.174301 0.0108471i
\(293\) 5.96057i 0.348220i 0.984726 + 0.174110i \(0.0557049\pi\)
−0.984726 + 0.174110i \(0.944295\pi\)
\(294\) 0.241261 + 17.1447i 0.0140706 + 0.999901i
\(295\) 4.50477 0.262278
\(296\) 1.81361 4.89191i 0.105414 0.284336i
\(297\) 14.4733 8.96219i 0.839826 0.520039i
\(298\) 16.7933 + 17.8709i 0.972813 + 1.03523i
\(299\) 4.06642 2.34775i 0.235167 0.135774i
\(300\) −5.76456 + 1.76547i −0.332817 + 0.101929i
\(301\) −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
\(304\) −21.1708 2.64526i −1.21423 0.151716i
\(305\) 21.2405 + 12.2632i 1.21623 + 0.702189i
\(306\) −8.39250 18.5035i −0.479767 1.05777i
\(307\) 5.42113 0.309400 0.154700 0.987961i \(-0.450559\pi\)
0.154700 + 0.987961i \(0.450559\pi\)
\(308\) −5.94686 + 16.2839i −0.338854 + 0.927861i
\(309\) −1.03617 0.851458i −0.0589458 0.0484378i
\(310\) −33.7804 + 7.93525i −1.91860 + 0.450692i
\(311\) 12.1809 21.0979i 0.690714 1.19635i −0.280890 0.959740i \(-0.590630\pi\)
0.971604 0.236612i \(-0.0760370\pi\)
\(312\) −3.88160 2.21876i −0.219752 0.125612i
\(313\) 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 \(0.0219140\pi\)
−0.439241 + 0.898369i \(0.644753\pi\)
\(318\) 4.11442 0.273884i 0.230725 0.0153586i
\(319\) 2.22697 3.85723i 0.124687 0.215964i
\(320\) −6.87048 19.6005i −0.384072 1.09570i
\(321\) 15.9764 19.4423i 0.891716 1.08516i
\(322\) −17.1953 + 8.65526i −0.958257 + 0.482339i
\(323\) −25.5436 −1.42128
\(324\) −5.79916 17.0402i −0.322176 0.946680i
\(325\) −0.794166 + 1.37554i −0.0440524 + 0.0763010i
\(326\) 25.7508 24.1981i 1.42621 1.34021i
\(327\) −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
\(330\) 17.3114 11.5927i 0.952964 0.638156i
\(331\) 1.90300 1.09870i 0.104599 0.0603900i −0.446788 0.894640i \(-0.647432\pi\)
0.551387 + 0.834250i \(0.314099\pi\)
\(332\) −0.219444 0.441313i −0.0120435 0.0242202i
\(333\) 1.78537 5.23783i 0.0978376 0.287031i
\(334\) −13.6199 + 3.19940i −0.745247 + 0.175063i
\(335\) 32.5669 1.77932
\(336\) 15.3671 + 9.99259i 0.838345 + 0.545141i
\(337\) 29.4138 1.60227 0.801135 0.598484i \(-0.204230\pi\)
0.801135 + 0.598484i \(0.204230\pi\)
\(338\) 16.7509 3.93490i 0.911130 0.214030i
\(339\) −26.3818 + 9.91044i −1.43286 + 0.538261i
\(340\) −11.0716 22.2656i −0.600443 1.20752i
\(341\) 26.8144 15.4813i 1.45208 0.838358i
\(342\) −22.5215 2.20934i −1.21783 0.119467i
\(343\) −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
\(346\) −15.9171 + 14.9574i −0.855710 + 0.804113i
\(347\) −6.43016 + 11.1374i −0.345189 + 0.597885i −0.985388 0.170324i \(-0.945518\pi\)
0.640199 + 0.768209i \(0.278852\pi\)
\(348\) −3.44584 3.21017i −0.184716 0.172083i
\(349\) −30.0571 −1.60892 −0.804460 0.594006i \(-0.797545\pi\)
−0.804460 + 0.594006i \(0.797545\pi\)
\(350\) 3.57344 5.44385i 0.191008 0.290986i
\(351\) −4.17801 2.24335i −0.223005 0.119741i
\(352\) 10.9188 + 14.9748i 0.581971 + 0.798159i
\(353\) −12.1069 + 20.9698i −0.644387 + 1.11611i 0.340056 + 0.940405i \(0.389554\pi\)
−0.984443 + 0.175705i \(0.943779\pi\)
\(354\) 0.282295 + 4.24078i 0.0150038 + 0.225395i
\(355\) 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 \(0.364117\pi\)
\(360\) −7.83592 20.5890i −0.412989 1.08513i
\(361\) −4.72503 + 8.18398i −0.248686 + 0.430736i
\(362\) 1.95389 0.458981i 0.102694 0.0241235i
\(363\) 0.293351 0.356991i 0.0153970 0.0187372i
\(364\) 4.75675 0.833426i 0.249322 0.0436834i
\(365\) −3.87384 −0.202766
\(366\) −10.2135 + 20.7642i −0.533868 + 1.08536i
\(367\) −15.1950 8.77283i −0.793172 0.457938i 0.0479063 0.998852i \(-0.484745\pi\)
−0.841078 + 0.540914i \(0.818078\pi\)
\(368\) −2.55159 + 20.4212i −0.133011 + 1.06453i
\(369\) −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
\(372\) −9.58711 31.3036i −0.497068 1.62302i
\(373\) −3.25687 + 1.88036i −0.168635 + 0.0973612i −0.581942 0.813230i \(-0.697707\pi\)
0.413307 + 0.910592i \(0.364374\pi\)
\(374\) 15.1943 + 16.1693i 0.785680 + 0.836094i
\(375\) 13.7216 5.15458i 0.708581 0.266181i
\(376\) −17.4633 6.47428i −0.900601 0.333886i
\(377\) −1.24073 −0.0639008
\(378\) 16.5746 + 10.1628i 0.852504 + 0.522720i
\(379\) 12.2799i 0.630774i 0.948963 + 0.315387i \(0.102134\pi\)
−0.948963 + 0.315387i \(0.897866\pi\)
\(380\) −27.6423 1.72024i −1.41802 0.0882465i
\(381\) 0.974524 + 2.59421i 0.0499264 + 0.132905i
\(382\) −4.31281 + 4.05275i −0.220662 + 0.207357i
\(383\) 3.77515 + 6.53874i 0.192901 + 0.334114i 0.946210 0.323552i \(-0.104877\pi\)
−0.753309 + 0.657666i \(0.771544\pi\)
\(384\) 18.0214 7.69614i 0.919649 0.392742i
\(385\) −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
\(388\) −4.54437 9.13897i −0.230705 0.463961i
\(389\) −18.2949 + 31.6877i −0.927588 + 1.60663i −0.140244 + 0.990117i \(0.544789\pi\)
−0.787345 + 0.616513i \(0.788545\pi\)
\(390\) −5.20791 2.56167i −0.263713 0.129715i
\(391\) 24.6391i 1.24605i
\(392\) −19.6655 + 2.29495i −0.993259 + 0.115913i
\(393\) 12.3105 + 10.1160i 0.620984 + 0.510283i
\(394\) 17.4720 4.10428i 0.880224 0.206770i
\(395\) −0.281118 0.162304i −0.0141446 0.00816638i
\(396\) 11.9982 + 15.5705i 0.602930 + 0.782447i
\(397\) 3.83449 + 6.64152i 0.192447 + 0.333329i 0.946061 0.323989i \(-0.105024\pi\)
−0.753613 + 0.657318i \(0.771691\pi\)
\(398\) −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 \(0.534688\pi\)
\(402\) 2.04083 + 30.6585i 0.101788 + 1.52911i
\(403\) −7.46964 4.31260i −0.372089 0.214826i
\(404\) −14.5929 0.908149i −0.726025 0.0451821i
\(405\) −8.88735 21.6099i −0.441616 1.07380i
\(406\) 5.07845 + 0.291186i 0.252039 + 0.0144513i
\(407\) 6.04316i 0.299548i
\(408\) 20.2670 11.8181i 1.00337 0.585083i
\(409\) 13.5659 + 7.83230i 0.670793 + 0.387283i 0.796377 0.604800i \(-0.206747\pi\)
−0.125584 + 0.992083i \(0.540080\pi\)
\(410\) −15.8353 + 14.8805i −0.782050 + 0.734894i
\(411\) 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
\(414\) −2.13110 + 21.7240i −0.104738 + 1.06768i
\(415\) −0.319895 0.554074i −0.0157030 0.0271984i
\(416\) 2.09182 4.71987i 0.102560 0.231411i
\(417\) −1.70854 4.54816i −0.0836674 0.222724i
\(418\) 24.0579 5.65136i 1.17671 0.276417i
\(419\) 35.4540i 1.73204i −0.500009 0.866020i \(-0.666670\pi\)
0.500009 0.866020i \(-0.333330\pi\)
\(420\) 20.7154 + 11.7074i 1.01081 + 0.571264i
\(421\) 8.00460i 0.390120i 0.980791 + 0.195060i \(0.0624902\pi\)
−0.980791 + 0.195060i \(0.937510\pi\)
\(422\) −2.55190 10.8635i −0.124225 0.528826i
\(423\) −18.6982 6.37347i −0.909137 0.309889i
\(424\) 0.798847 + 4.69395i 0.0387954 + 0.227958i
\(425\) −4.16730 7.21798i −0.202144 0.350123i
\(426\) −1.22929 + 0.823199i −0.0595594 + 0.0398841i
\(427\) −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
\(430\) 20.1176 + 21.4085i 0.970156 + 1.03241i
\(431\) −25.8583 14.9293i −1.24555 0.719118i −0.275331 0.961350i \(-0.588787\pi\)
−0.970219 + 0.242231i \(0.922121\pi\)
\(432\) 18.8914 8.66694i 0.908912 0.416988i
\(433\) 1.70747i 0.0820557i −0.999158 0.0410278i \(-0.986937\pi\)
0.999158 0.0410278i \(-0.0130632\pi\)
\(434\) 29.5620 + 19.4050i 1.41902 + 0.931470i
\(435\) −4.72328 3.88128i −0.226464 0.186093i
\(436\) −29.5066 1.83626i −1.41311 0.0879410i
\(437\) 23.7660 + 13.7213i 1.13688 + 0.656379i
\(438\) −0.242757 3.64683i −0.0115994 0.174252i
\(439\) 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 0.984133 0.177431i \(-0.0567785\pi\)
−0.645726 + 0.763569i \(0.723445\pi\)
\(444\) 6.22676 + 1.43437i 0.295509 + 0.0680723i
\(445\) 8.12438 + 4.69062i 0.385133 + 0.222356i
\(446\) 3.73182 + 15.8864i 0.176707 + 0.752244i
\(447\) −19.0684 + 23.2051i −0.901904 + 1.09756i
\(448\) −9.66976 + 18.8281i −0.456853 + 0.889542i
\(449\) 2.18010i 0.102885i 0.998676 + 0.0514426i \(0.0163819\pi\)
−0.998676 + 0.0514426i \(0.983618\pi\)
\(450\) −3.04996 6.72446i −0.143777 0.316994i
\(451\) 9.69470 16.7917i 0.456506 0.790691i
\(452\) −14.4890 29.1381i −0.681503 1.37054i
\(453\) 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
\(456\) −0.112796 26.1302i −0.00528217 1.22366i
\(457\) −16.0855 27.8609i −0.752447 1.30328i −0.946633 0.322312i \(-0.895540\pi\)
0.194186 0.980965i \(-0.437793\pi\)
\(458\) −3.45227 3.67379i −0.161314 0.171665i
\(459\) 21.1565 13.1005i 0.987499 0.611481i
\(460\) −1.65933 + 26.6635i −0.0773665 + 1.24319i
\(461\) 13.9258i 0.648588i −0.945956 0.324294i \(-0.894873\pi\)
0.945956 0.324294i \(-0.105127\pi\)
\(462\) −20.7131 4.66513i −0.963660 0.217041i
\(463\) 15.5838 0.724239 0.362120 0.932132i \(-0.382053\pi\)
0.362120 + 0.932132i \(0.382053\pi\)
\(464\) 3.28192 4.33600i 0.152359 0.201294i
\(465\) −14.9451 39.7841i −0.693061 1.84494i
\(466\) 7.86206 7.38799i 0.364203 0.342242i
\(467\) −16.6230 + 9.59729i −0.769220 + 0.444110i −0.832596 0.553880i \(-0.813147\pi\)
0.0633760 + 0.997990i \(0.479813\pi\)
\(468\) 2.08519 5.06325i 0.0963879 0.234049i
\(469\) −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
\(472\) −4.83810 + 0.823380i −0.222692 + 0.0378991i
\(473\) −22.7015 13.1067i −1.04381 0.602647i
\(474\) 0.135176 0.274815i 0.00620883 0.0126227i
\(475\) −9.28294 −0.425931
\(476\) −8.69287 + 23.8031i −0.398437 + 1.09101i
\(477\) 0.979016 + 4.95447i 0.0448261 + 0.226850i
\(478\) −4.29305 18.2755i −0.196359 0.835904i
\(479\) 3.02090 5.23235i 0.138028 0.239072i −0.788722 0.614750i \(-0.789257\pi\)
0.926750 + 0.375678i \(0.122590\pi\)
\(480\) 22.7280 11.4242i 1.03739 0.521441i
\(481\) 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
\(486\) 19.7865 9.72074i 0.897536 0.440942i
\(487\) 11.1385 19.2925i 0.504735 0.874227i −0.495250 0.868751i \(-0.664923\pi\)
0.999985 0.00547672i \(-0.00174330\pi\)
\(488\) −25.0537 9.28830i −1.13413 0.420462i
\(489\) 33.4370 + 27.4763i 1.51207 + 1.24252i
\(490\) −25.2937 + 4.55895i −1.14265 + 0.205953i
\(491\) −4.63965 −0.209384 −0.104692 0.994505i \(-0.533386\pi\)
−0.104692 + 0.994505i \(0.533386\pi\)
\(492\) −15.0008 13.9748i −0.676288 0.630034i
\(493\) 3.25530 5.63834i 0.146611 0.253938i
\(494\) −4.71427 5.01677i −0.212105 0.225715i
\(495\) 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
\(498\) 0.501558 0.335870i 0.0224754 0.0150507i
\(499\) 16.8940 9.75377i 0.756280 0.436639i −0.0716782 0.997428i \(-0.522835\pi\)
0.827959 + 0.560789i \(0.189502\pi\)
\(500\) 7.53594 + 15.1552i 0.337017 + 0.677760i
\(501\) −6.02567 16.0405i −0.269207 0.716636i
\(502\) −0.468623 1.99493i −0.0209157 0.0890383i
\(503\) −33.9146 −1.51218 −0.756090 0.654468i \(-0.772893\pi\)
−0.756090 + 0.654468i \(0.772893\pi\)
\(504\) −9.72321 + 20.2351i −0.433106 + 0.901343i
\(505\) −18.9799 −0.844594
\(506\) −5.45125 23.2060i −0.242338 1.03163i
\(507\) 7.41090 + 19.7280i 0.329130 + 0.876150i
\(508\) −2.86524 + 1.42474i −0.127124 + 0.0632128i
\(509\) −20.9128 + 12.0740i −0.926946 + 0.535172i −0.885844 0.463983i \(-0.846420\pi\)
−0.0411013 + 0.999155i \(0.513087\pi\)
\(510\) 25.3052 16.9457i 1.12053 0.750367i
\(511\) 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
\(514\) −11.6876 12.4375i −0.515516 0.548595i
\(515\) 1.00513 1.74094i 0.0442914 0.0767150i
\(516\) −18.8932 + 20.2802i −0.831727 + 0.892787i
\(517\) 21.5731 0.948782
\(518\) −6.16488 + 3.10309i −0.270869 + 0.136342i
\(519\) −20.6681 16.9837i −0.907230 0.745501i
\(520\) 2.32962 6.28375i 0.102160 0.275561i
\(521\) 2.98225 5.16541i 0.130655 0.226301i −0.793274 0.608864i \(-0.791625\pi\)
0.923929 + 0.382564i \(0.124959\pi\)
\(522\) 3.35784 4.68971i 0.146969 0.205263i
\(523\) −6.49701 11.2532i −0.284095 0.492066i 0.688295 0.725431i \(-0.258360\pi\)
−0.972389 + 0.233365i \(0.925026\pi\)
\(524\) −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
\(528\) −16.4735 + 15.6147i −0.716918 + 0.679541i
\(529\) 1.73544 3.00587i 0.0754539 0.130690i
\(530\) 1.41346 + 6.01710i 0.0613966 + 0.261366i
\(531\) −5.10662 + 1.00908i −0.221609 + 0.0437905i
\(532\) 18.1187 + 21.6406i 0.785544 + 0.938239i
\(533\) −5.40127 −0.233955
\(534\) −3.90662 + 7.94222i −0.169056 + 0.343694i
\(535\) 32.6663 + 18.8599i 1.41229 + 0.815383i
\(536\) −34.9768 + 5.95258i −1.51077 + 0.257112i
\(537\) −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
\(540\) 23.7770 12.7521i 1.02320 0.548764i
\(541\) 18.7480 10.8242i 0.806039 0.465367i −0.0395397 0.999218i \(-0.512589\pi\)
0.845578 + 0.533851i \(0.179256\pi\)
\(542\) 11.0416 10.3758i 0.474278 0.445680i
\(543\) 0.864435 + 2.30115i 0.0370965 + 0.0987516i
\(544\) 15.9606 + 21.8895i 0.684304 + 0.938505i
\(545\) −38.3770 −1.64389
\(546\) 1.75956 + 5.64676i 0.0753021 + 0.241659i
\(547\) 15.8930i 0.679536i 0.940509 + 0.339768i \(0.110349\pi\)
−0.940509 + 0.339768i \(0.889651\pi\)
\(548\) 5.62257 + 0.349905i 0.240184 + 0.0149472i
\(549\) −26.8253 9.14368i −1.14488 0.390243i
\(550\) 5.52185 + 5.87617i 0.235453 + 0.250561i
\(551\) −3.62570 6.27989i −0.154460 0.267532i
\(552\) −25.2049 + 0.108802i −1.07279 + 0.00463093i
\(553\) 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
\(556\) 5.02333 2.49786i 0.213037 0.105933i
\(557\) 20.3420 35.2334i 0.861919 1.49289i −0.00815471 0.999967i \(-0.502596\pi\)
0.870074 0.492921i \(-0.164071\pi\)
\(558\) 36.5161 16.5624i 1.54585 0.701141i
\(559\) 7.30223i 0.308851i
\(560\) −11.0101 + 25.1734i −0.465262 + 1.06377i
\(561\) −17.2528 + 20.9956i −0.728412 + 0.886433i
\(562\) 1.37879 + 5.86953i 0.0581608 + 0.247591i
\(563\) 38.8739 + 22.4439i 1.63834 + 0.945896i 0.981405 + 0.191950i \(0.0614810\pi\)
0.656936 + 0.753947i \(0.271852\pi\)
\(564\) 5.12047 22.2285i 0.215611 0.935988i
\(565\) −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 \(0.232345\pi\)
\(570\) −2.25298 33.8454i −0.0943668 1.41763i
\(571\) −6.27344 3.62197i −0.262535 0.151575i 0.362955 0.931807i \(-0.381768\pi\)
−0.625490 + 0.780232i \(0.715101\pi\)
\(572\) −0.371422 + 5.96833i −0.0155299 + 0.249549i
\(573\) −5.60010 4.60179i −0.233948 0.192243i
\(574\) 22.1080 + 1.26762i 0.922772 + 0.0529095i
\(575\) 8.95423i 0.373417i
\(576\) 12.1790 + 20.6802i 0.507458 + 0.861677i
\(577\) 20.2309 + 11.6803i 0.842223 + 0.486258i 0.858019 0.513617i \(-0.171695\pi\)
−0.0157961 + 0.999875i \(0.505028\pi\)
\(578\) 5.74685 + 6.11560i 0.239037 + 0.254376i
\(579\) 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
\(582\) 10.3866 6.95539i 0.430537 0.288310i
\(583\) −2.75758 4.77627i −0.114207 0.197813i
\(584\) 4.16049 0.708059i 0.172162 0.0292997i
\(585\) 2.29334 6.72810i 0.0948180 0.278173i
\(586\) −1.92768 8.20615i −0.0796316 0.338993i
\(587\) 8.33175i 0.343888i −0.985107 0.171944i \(-0.944995\pi\)
0.985107 0.171944i \(-0.0550048\pi\)
\(588\) −5.87684 23.5258i −0.242357 0.970187i
\(589\) 50.4096i 2.07709i
\(590\) −6.20189 + 1.45686i −0.255328 + 0.0599781i
\(591\) 7.72990 + 20.5772i 0.317966 + 0.846432i
\(592\) −0.914797 + 7.32141i −0.0375979 + 0.300908i
\(593\) 19.8845 + 34.4410i 0.816560 + 1.41432i 0.908202 + 0.418531i \(0.137455\pi\)
−0.0916424 + 0.995792i \(0.529212\pi\)
\(594\) −17.0275 + 17.0193i −0.698648 + 0.698311i
\(595\) −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
\(598\) −4.83912 + 4.54733i −0.197886 + 0.185954i
\(599\) 12.0202 + 6.93989i 0.491134 + 0.283556i 0.725045 0.688702i \(-0.241819\pi\)
−0.233911 + 0.972258i \(0.575152\pi\)
\(600\) 7.36534 4.29488i 0.300689 0.175338i
\(601\) 17.2223i 0.702512i −0.936279 0.351256i \(-0.885755\pi\)
0.936279 0.351256i \(-0.114245\pi\)
\(602\) 1.71375 29.8889i 0.0698474 1.21818i
\(603\) −36.9180 + 7.29510i −1.50342 + 0.297080i
\(604\) −1.59392 + 25.6125i −0.0648557 + 1.04216i
\(605\) 0.599803 + 0.346296i 0.0243855 + 0.0140790i
\(606\) −1.18939 17.8676i −0.0483157 0.725823i
\(607\) 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
\(612\) 17.5384 + 22.7603i 0.708948 + 0.920031i
\(613\) 36.3973 + 21.0140i 1.47007 + 0.848747i 0.999436 0.0335801i \(-0.0106909\pi\)
0.470637 + 0.882327i \(0.344024\pi\)
\(614\) −7.46348 + 1.75322i −0.301202 + 0.0707542i
\(615\) −20.5619 16.8964i −0.829134 0.681328i
\(616\) 2.92098 24.3419i 0.117690 0.980764i
\(617\) 16.0083i 0.644471i 0.946660 + 0.322236i \(0.104434\pi\)
−0.946660 + 0.322236i \(0.895566\pi\)
\(618\) 1.70190 + 0.837132i 0.0684607 + 0.0336744i
\(619\) −10.1543 + 17.5878i −0.408136 + 0.706913i −0.994681 0.103004i \(-0.967155\pi\)
0.586545 + 0.809917i \(0.300488\pi\)
\(620\) 43.9405 21.8495i 1.76469 0.877498i
\(621\) −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
\(624\) 6.06150 + 1.79932i 0.242654 + 0.0720304i
\(625\) 15.3365 + 26.5636i 0.613460 + 1.06254i
\(626\) −16.8259 + 15.8114i −0.672500 + 0.631950i
\(627\) 10.6437 + 28.3336i 0.425067 + 1.13154i
\(628\) 2.12511 34.1482i 0.0848013 1.36266i
\(629\) 8.83363i 0.352220i
\(630\) −10.9659 + 27.0007i −0.436893 + 1.07573i
\(631\) −28.0435 −1.11639 −0.558197 0.829708i \(-0.688507\pi\)
−0.558197 + 0.829708i \(0.688507\pi\)
\(632\) 0.331585 + 0.122931i 0.0131898 + 0.00488992i
\(633\) 12.7942 4.80620i 0.508524 0.191029i
\(634\) −19.2563 20.4919i −0.764765 0.813837i
\(635\) −3.59734 + 2.07693i −0.142756 + 0.0824203i
\(636\) −5.57591 + 1.70769i −0.221099 + 0.0677144i
\(637\) −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
\(640\) 15.7978 + 24.7629i 0.624462 + 0.978838i
\(641\) −9.80778 5.66252i −0.387384 0.223656i 0.293642 0.955915i \(-0.405133\pi\)
−0.681026 + 0.732259i \(0.738466\pi\)
\(642\) −15.7076 + 31.9338i −0.619929 + 1.26033i
\(643\) −32.8892 −1.29702 −0.648512 0.761204i \(-0.724608\pi\)
−0.648512 + 0.761204i \(0.724608\pi\)
\(644\) 20.8743 17.4771i 0.822563 0.688693i
\(645\) −22.8430 + 27.7985i −0.899441 + 1.09457i
\(646\) 35.1669 8.26093i 1.38362 0.325022i
\(647\) 13.6188 23.5884i 0.535409 0.927356i −0.463734 0.885974i \(-0.653491\pi\)
0.999143 0.0413818i \(-0.0131760\pi\)
\(648\) 13.4948 + 21.5845i 0.530127 + 0.847918i
\(649\) 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 0.999760 0.0218870i \(-0.00696741\pi\)
−0.518835 + 0.854874i \(0.673634\pi\)
\(654\) −2.40493 36.1281i −0.0940401 1.41272i
\(655\) −11.9417 + 20.6837i −0.466602 + 0.808179i
\(656\) 14.2872 18.8759i 0.557822 0.736982i
\(657\) 4.39140 0.867753i 0.171325 0.0338543i
\(658\) 11.0775 + 22.0076i 0.431847 + 0.857945i
\(659\) 12.1725 0.474172 0.237086 0.971489i \(-0.423808\pi\)
0.237086 + 0.971489i \(0.423808\pi\)
\(660\) −20.0842 + 21.5587i −0.781777 + 0.839171i
\(661\) −4.00322 + 6.93378i −0.155707 + 0.269693i −0.933316 0.359055i \(-0.883099\pi\)
0.777609 + 0.628748i \(0.216432\pi\)
\(662\) −2.26461 + 2.12806i −0.0880167 + 0.0827095i
\(663\) 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
\(666\) −0.764045 + 7.78852i −0.0296062 + 0.301799i
\(667\) −6.05752 + 3.49731i −0.234548 + 0.135416i
\(668\) 17.7163 8.80947i 0.685465 0.340849i
\(669\) −18.7098 + 7.02843i −0.723364 + 0.271735i
\(670\) −44.8362 + 10.5323i −1.73217 + 0.406899i
\(671\) 30.9497 1.19480
\(672\) −24.3881 8.78739i −0.940793 0.338981i
\(673\) 18.1260 0.698706 0.349353 0.936991i \(-0.386401\pi\)
0.349353 + 0.936991i \(0.386401\pi\)
\(674\) −40.4951 + 9.51255i −1.55981 + 0.366410i
\(675\) 7.68858 4.76094i 0.295934 0.183249i
\(676\) −21.7891 + 10.8347i −0.838041 + 0.416717i
\(677\) −39.1458 + 22.6008i −1.50449 + 0.868620i −0.504508 + 0.863407i \(0.668326\pi\)
−0.999986 + 0.00521277i \(0.998341\pi\)
\(678\) 33.1158 22.1761i 1.27180 0.851668i
\(679\) −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
\(682\) −31.9097 + 29.9856i −1.22188 + 1.14821i
\(683\) −6.38047 + 11.0513i −0.244142 + 0.422866i −0.961890 0.273437i \(-0.911840\pi\)
0.717748 + 0.696303i \(0.245173\pi\)
\(684\) 31.7208 4.24190i 1.21287 0.162193i
\(685\) 7.31285 0.279410
\(686\) 21.1129 + 15.4998i 0.806096 + 0.591785i
\(687\) 3.91996 4.77036i 0.149556 0.182000i
\(688\) −25.5192 19.3155i −0.972912 0.736397i
\(689\) −0.768176 + 1.33052i −0.0292652 + 0.0506888i
\(690\) −32.6469 + 2.17320i −1.24285 + 0.0827322i
\(691\) 7.47003 + 12.9385i 0.284173 + 0.492203i 0.972408 0.233285i \(-0.0749475\pi\)
−0.688235 + 0.725488i \(0.741614\pi\)
\(692\) 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
\(696\) 5.78220 + 3.30516i 0.219174 + 0.125282i
\(697\) 14.1713 24.5454i 0.536776 0.929724i
\(698\) 41.3808 9.72062i 1.56629 0.367931i
\(699\) 10.2087 + 8.38887i 0.386130 + 0.317296i
\(700\) −3.15912 + 8.65042i −0.119404 + 0.326955i
\(701\) −14.3141 −0.540636 −0.270318 0.962771i \(-0.587129\pi\)
−0.270318 + 0.962771i \(0.587129\pi\)
\(702\) 6.47754 + 1.73733i 0.244479 + 0.0655711i
\(703\) 8.52061 + 4.91938i 0.321361 + 0.185538i
\(704\) −19.8752 17.0852i −0.749074 0.643922i
\(705\) 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
\(708\) −1.76014 5.74715i −0.0661499 0.215991i
\(709\) −5.67964 + 3.27914i −0.213303 + 0.123151i −0.602846 0.797858i \(-0.705967\pi\)
0.389542 + 0.921009i \(0.372633\pi\)
\(710\) −1.51861 1.61605i −0.0569924 0.0606495i
\(711\) 0.355033 + 0.121017i 0.0133148 + 0.00453848i
\(712\) −9.58291 3.55273i −0.359135 0.133144i
\(713\) −48.6246 −1.82100
\(714\) −30.2775 6.81929i −1.13311 0.255205i
\(715\) 7.76255i 0.290303i
\(716\) 1.50923 24.2516i 0.0564025 0.906324i
\(717\) 21.5236 8.08543i 0.803813 0.301956i
\(718\) 3.77099 3.54361i 0.140732 0.132246i
\(719\) −19.5665 33.8902i −0.729708 1.26389i −0.957007 0.290066i \(-0.906323\pi\)
0.227299 0.973825i \(-0.427010\pi\)
\(720\) 17.4466 + 25.8115i 0.650196 + 0.961936i
\(721\) −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
\(724\) −2.54156 + 1.26379i −0.0944563 + 0.0469686i
\(725\) 1.18303 2.04906i 0.0439365 0.0761002i
\(726\) −0.288416 + 0.586354i −0.0107041 + 0.0217617i
\(727\) 34.4829i 1.27890i −0.768833 0.639450i \(-0.779162\pi\)
0.768833 0.639450i \(-0.220838\pi\)
\(728\) −6.27927 + 2.68577i −0.232725 + 0.0995411i
\(729\) 14.9154 + 22.5062i 0.552423 + 0.833564i
\(730\) 5.33327 1.25282i 0.197393 0.0463689i
\(731\) −33.1841 19.1588i −1.22736 0.708615i
\(732\) 7.34606 31.8900i 0.271518 1.17869i
\(733\) 9.89201 + 17.1335i 0.365370 + 0.632839i 0.988835 0.149012i \(-0.0476093\pi\)
−0.623466 + 0.781851i \(0.714276\pi\)
\(734\) 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
\(738\) 14.6177 20.4157i 0.538085 0.751513i
\(739\) −6.03595 3.48486i −0.222036 0.128193i 0.384857 0.922976i \(-0.374251\pi\)
−0.606893 + 0.794784i \(0.707584\pi\)
\(740\) −0.594903 + 9.55942i −0.0218691 + 0.351411i
\(741\) 5.35292 6.51418i 0.196645 0.239305i
\(742\) 3.45649 5.26569i 0.126892 0.193310i
\(743\) 45.3956i 1.66540i 0.553723 + 0.832701i \(0.313207\pi\)
−0.553723 + 0.832701i \(0.686793\pi\)
\(744\) 23.3227 + 39.9963i 0.855051 + 1.46634i
\(745\) −38.9883 22.5099i −1.42842 0.824700i
\(746\) 3.87575 3.64205i 0.141901 0.133345i
\(747\) 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
\(750\) −17.2240 + 11.5341i −0.628933 + 0.421167i
\(751\) −10.3669 17.9560i −0.378293 0.655223i 0.612521 0.790455i \(-0.290156\pi\)
−0.990814 + 0.135231i \(0.956822\pi\)
\(752\) 26.1362 + 3.26567i 0.953090 + 0.119087i
\(753\) 2.34949 0.882594i 0.0856200 0.0321635i
\(754\) 1.70816 0.401258i 0.0622075 0.0146130i
\(755\) 33.3122i 1.21236i
\(756\) −26.1056 8.63128i −0.949451 0.313917i
\(757\) 30.3555i 1.10329i 0.834079 + 0.551645i \(0.186000\pi\)
−0.834079 + 0.551645i \(0.814000\pi\)
\(758\) −3.97137 16.9062i −0.144247 0.614059i
\(759\) 27.3303 10.2668i 0.992029 0.372660i
\(760\) 38.6126 6.57134i 1.40063 0.238367i
\(761\) 6.12394 + 10.6070i 0.221993 + 0.384503i 0.955413 0.295273i \(-0.0954106\pi\)
−0.733420 + 0.679775i \(0.762077\pi\)
\(762\) −2.18064 3.25638i −0.0789964 0.117966i
\(763\) 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
\(766\) −7.31205 7.78124i −0.264195 0.281148i
\(767\) −1.37138 0.791767i −0.0495177 0.0285890i
\(768\) −22.3217 + 16.4238i −0.805466 + 0.592642i
\(769\) 19.0816i 0.688100i 0.938951 + 0.344050i \(0.111799\pi\)
−0.938951 + 0.344050i \(0.888201\pi\)
\(770\) 1.82179 31.7730i 0.0656526 1.14502i
\(771\) 13.2709 16.1499i 0.477940 0.581624i
\(772\) −3.27717 + 52.6603i −0.117948 + 1.89529i
\(773\)