Properties

Label 168.2.ba.c.101.23
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 101.23
Character \(\chi\) \(=\) 168.101
Dual form 168.2.ba.c.5.23

$q$-expansion

\(f(q)\) \(=\) \(q+(1.37674 - 0.323405i) q^{2} +(1.70874 - 0.283220i) q^{3} +(1.79082 - 0.890488i) q^{4} +(-2.24840 + 1.29811i) q^{5} +(2.26089 - 0.942534i) q^{6} +(-2.53678 - 0.751482i) q^{7} +(2.17750 - 1.80513i) q^{8} +(2.83957 - 0.967897i) q^{9} +O(q^{10})\) \(q+(1.37674 - 0.323405i) q^{2} +(1.70874 - 0.283220i) q^{3} +(1.79082 - 0.890488i) 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} +(2.83957 - 0.967897i) q^{9} +(-2.67564 + 2.51430i) q^{10} +(-1.63808 + 2.83724i) q^{11} +(2.80784 - 2.02881i) 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} +(3.59633 - 2.25087i) q^{18} +(-2.66693 - 4.61926i) q^{19} +(-2.87052 + 4.32685i) q^{20} +(-4.54754 - 0.565618i) q^{21} +(-1.33763 + 4.43590i) q^{22} +(4.45569 - 2.57249i) q^{23} +(3.20953 - 3.70120i) 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} +(-3.85986 + 5.05408i) q^{30} +(8.18469 + 4.72543i) q^{31} +(2.29206 - 5.17170i) q^{32} +(-1.99549 + 5.31204i) 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} +(-5.16556 - 5.49701i) q^{38} +(-1.55945 + 0.258476i) q^{39} +(-2.55263 + 6.88528i) q^{40} -5.91833 q^{41} +(-6.44369 + 0.691987i) q^{42} -8.00125i q^{43} +(-0.406978 + 6.53967i) q^{44} +(-5.12805 + 5.86230i) q^{45} +(5.30236 - 4.98264i) 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} +(-2.91692 + 7.76491i) q^{51} +(-1.63436 + 0.812691i) q^{52} +(-0.841712 + 1.45789i) q^{53} +(5.50769 - 4.86471i) 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} +(-3.67951 + 8.20645i) q^{60} +(4.72347 + 8.18130i) q^{61} +(12.7964 + 3.85872i) q^{62} +(-7.93074 + 0.321460i) q^{63} +(1.48302 - 7.86134i) q^{64} +(2.05197 - 1.18470i) q^{65} +(-1.02933 + 7.95863i) 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} +(4.43599 - 7.23339i) q^{72} +(-1.29220 - 0.746053i) q^{73} +(-1.90101 + 1.78638i) q^{74} +(1.06005 - 2.82189i) 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} +(-1.28756 + 10.3048i) q^{80} +(7.12635 - 5.49683i) q^{81} +(-8.14799 + 1.91402i) q^{82} +0.246431i q^{83} +(-8.64749 + 3.03661i) q^{84} -12.4332i q^{85} +(-2.58764 - 11.0156i) q^{86} +(-2.32303 + 0.385038i) q^{87} +(1.55466 + 9.13504i) 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} +(15.3238 + 5.75646i) q^{93} +(-6.37708 - 6.78628i) q^{94} +(11.9926 + 6.92395i) q^{95} +(2.45181 - 9.48623i) 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
\(3\) 1.70874 0.283220i 0.986541 0.163517i
\(4\) 1.79082 0.890488i 0.895409 0.445244i
\(5\) −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
\(9\) 2.83957 0.967897i 0.946524 0.322632i
\(10\) −2.67564 + 2.51430i −0.846111 + 0.795093i
\(11\) −1.63808 + 2.83724i −0.493900 + 0.855460i −0.999975 0.00702958i \(-0.997762\pi\)
0.506075 + 0.862489i \(0.331096\pi\)
\(12\) 2.80784 2.02881i 0.810553 0.585666i
\(13\) −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 \(0.363906\pi\)
−0.995391 + 0.0958985i \(0.969428\pi\)
\(18\) 3.59633 2.25087i 0.847662 0.530536i
\(19\) −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
\(21\) −4.54754 0.565618i −0.992354 0.123428i
\(22\) −1.33763 + 4.43590i −0.285184 + 0.945737i
\(23\) 4.45569 2.57249i 0.929075 0.536402i 0.0425563 0.999094i \(-0.486450\pi\)
0.886519 + 0.462692i \(0.153116\pi\)
\(24\) 3.20953 3.70120i 0.655143 0.755505i
\(25\) 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 \(-0.540287\pi\)
−0.126227 + 0.992001i \(0.540287\pi\)
\(30\) −3.85986 + 5.05408i −0.704712 + 0.922745i
\(31\) 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
\(33\) −1.99549 + 5.31204i −0.347370 + 0.924707i
\(34\) −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 −0.625529 0.780201i \(-0.715117\pi\)
0.362909 + 0.931825i \(0.381784\pi\)
\(38\) −5.16556 5.49701i −0.837964 0.891733i
\(39\) −1.55945 + 0.258476i −0.249713 + 0.0413894i
\(40\) −2.55263 + 6.88528i −0.403605 + 1.08866i
\(41\) −5.91833 −0.924288 −0.462144 0.886805i \(-0.652920\pi\)
−0.462144 + 0.886805i \(0.652920\pi\)
\(42\) −6.44369 + 0.691987i −0.994283 + 0.106776i
\(43\) 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
\(45\) −5.12805 + 5.86230i −0.764444 + 0.873900i
\(46\) 5.30236 4.98264i 0.781791 0.734650i
\(47\) −3.29243 5.70266i −0.480250 0.831818i 0.519493 0.854475i \(-0.326121\pi\)
−0.999743 + 0.0226567i \(0.992788\pi\)
\(48\) 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
\(51\) −2.91692 + 7.76491i −0.408451 + 1.08730i
\(52\) −1.63436 + 0.812691i −0.226646 + 0.112700i
\(53\) −0.841712 + 1.45789i −0.115618 + 0.200256i −0.918027 0.396519i \(-0.870218\pi\)
0.802409 + 0.596775i \(0.203552\pi\)
\(54\) 5.50769 4.86471i 0.749502 0.662003i
\(55\) 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 0.398986 0.916957i \(-0.369362\pi\)
−0.594615 + 0.804010i \(0.702696\pi\)
\(60\) −3.67951 + 8.20645i −0.475023 + 1.05945i
\(61\) 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
\(63\) −7.93074 + 0.321460i −0.999180 + 0.0405001i
\(64\) 1.48302 7.86134i 0.185378 0.982667i
\(65\) 2.05197 1.18470i 0.254515 0.146944i
\(66\) −1.02933 + 7.95863i −0.126701 + 0.979640i
\(67\) 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 \(-0.988589\pi\)
0.999358 0.0358401i \(-0.0114107\pi\)
\(72\) 4.43599 7.23339i 0.522787 0.852463i
\(73\) −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
\(75\) 1.06005 2.82189i 0.122404 0.325844i
\(76\) −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 \(0.835572\pi\)
\(80\) −1.28756 + 10.3048i −0.143954 + 1.15211i
\(81\) 7.12635 5.49683i 0.791817 0.610759i
\(82\) −8.14799 + 1.91402i −0.899795 + 0.211368i
\(83\) 0.246431i 0.0270493i 0.999909 + 0.0135247i \(0.00430516\pi\)
−0.999909 + 0.0135247i \(0.995695\pi\)
\(84\) −8.64749 + 3.03661i −0.943518 + 0.331321i
\(85\) 12.4332i 1.34857i
\(86\) −2.58764 11.0156i −0.279033 1.18785i
\(87\) −2.32303 + 0.385038i −0.249055 + 0.0412804i
\(88\) 1.55466 + 9.13504i 0.165727 + 0.973798i
\(89\) −1.80671 3.12931i −0.191511 0.331706i 0.754241 0.656598i \(-0.228005\pi\)
−0.945751 + 0.324892i \(0.894672\pi\)
\(90\) −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
\(93\) 15.3238 + 5.75646i 1.58901 + 0.596917i
\(94\) −6.37708 6.78628i −0.657746 0.699951i
\(95\) 11.9926 + 6.92395i 1.23042 + 0.710382i
\(96\) 2.45181 9.48623i 0.250237 0.968185i
\(97\) 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 0.780741 0.624854i \(-0.214842\pi\)
−0.150769 + 0.988569i \(0.548175\pi\)
\(102\) −1.50463 + 11.6336i −0.148980 + 1.15190i
\(103\) 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
\(105\) 10.9589 4.63148i 1.06948 0.451986i
\(106\) −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 \(-0.414497\pi\)
\(108\) 6.00938 8.47864i 0.578253 0.815858i
\(109\) −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 \(0.277416\pi\)
−0.643657 + 0.765314i \(0.722584\pi\)
\(114\) −10.3834 7.92997i −0.972499 0.742709i
\(115\) −6.67877 + 11.5680i −0.622798 + 1.07872i
\(116\) −2.43462 + 1.21062i −0.226049 + 0.112403i
\(117\) −2.59149 + 0.883337i −0.239584 + 0.0816646i
\(118\) −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
\(122\) 9.14886 + 9.73591i 0.828299 + 0.881448i
\(123\) −10.1129 + 1.67619i −0.911847 + 0.151137i
\(124\) 18.8652 + 1.17402i 1.69415 + 0.105431i
\(125\) 8.46270i 0.756927i
\(126\) −10.8146 + 3.00741i −0.963441 + 0.267921i
\(127\) −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
\(129\) −2.26611 13.6720i −0.199520 1.20376i
\(130\) 2.44188 2.29464i 0.214167 0.201253i
\(131\) 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
\(135\) −7.10217 + 11.4695i −0.611257 + 0.987138i
\(136\) 2.27254 + 13.3532i 0.194868 + 1.14503i
\(137\) −2.43936 1.40836i −0.208408 0.120325i 0.392163 0.919896i \(-0.371727\pi\)
−0.600571 + 0.799571i \(0.705060\pi\)
\(138\) 7.64916 10.0158i 0.651140 0.852599i
\(139\) 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
\(144\) 3.76789 11.3931i 0.313991 0.949426i
\(145\) 3.05670 1.76479i 0.253845 0.146558i
\(146\) −2.02030 0.609216i −0.167201 0.0504190i
\(147\) 11.1111 + 4.85224i 0.916425 + 0.400206i
\(148\) −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 \(0.581895\pi\)
\(150\) 0.546805 4.22783i 0.0446464 0.345201i
\(151\) −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
\(156\) −2.56253 + 1.85156i −0.205167 + 0.148243i
\(157\) 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
\(159\) −1.02536 + 2.72954i −0.0813165 + 0.216466i
\(160\) 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 \(0.767282\pi\)
−0.950458 + 0.310853i \(0.899385\pi\)
\(164\) −10.5987 + 5.27020i −0.827616 + 0.411534i
\(165\) −2.40897 14.5339i −0.187538 1.13146i
\(166\) 0.0796970 + 0.339271i 0.00618568 + 0.0263325i
\(167\) −9.89286 −0.765532 −0.382766 0.923845i \(-0.625028\pi\)
−0.382766 + 0.923845i \(0.625028\pi\)
\(168\) −10.9233 + 6.97725i −0.842749 + 0.538307i
\(169\) −12.1671 −0.935931
\(170\) −4.02096 17.1173i −0.308393 1.31283i
\(171\) −12.0439 10.5354i −0.921021 0.805662i
\(172\) −7.12502 14.3288i −0.543278 1.09256i
\(173\) −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
\(177\) −2.81336 1.05685i −0.211465 0.0794379i
\(178\) −3.49940 3.72394i −0.262291 0.279121i
\(179\) −6.07462 + 10.5216i −0.454038 + 0.786418i −0.998632 0.0522822i \(-0.983350\pi\)
0.544594 + 0.838700i \(0.316684\pi\)
\(180\) −3.96309 + 15.0648i −0.295391 + 1.12286i
\(181\) −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
\(186\) 22.9586 + 2.96934i 1.68340 + 0.217723i
\(187\) −7.84469 13.5874i −0.573661 0.993610i
\(188\) −10.9743 7.28055i −0.800383 0.530989i
\(189\) −13.4605 + 2.79543i −0.979109 + 0.203338i
\(190\) 18.7500 + 5.65399i 1.36026 + 0.410184i
\(191\) −3.62414 + 2.09240i −0.262234 + 0.151401i −0.625353 0.780342i \(-0.715045\pi\)
0.363119 + 0.931743i \(0.381712\pi\)
\(192\) 0.307606 13.8530i 0.0221995 0.999754i
\(193\) −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 \(-0.350678\pi\)
0.452092 + 0.891971i \(0.350678\pi\)
\(198\) 0.495192 + 13.8908i 0.0351918 + 0.987173i
\(199\) 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
\(201\) 20.3390 + 7.64045i 1.43461 + 0.538916i
\(202\) 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
\(206\) 0.797987 0.749871i 0.0555984 0.0522460i
\(207\) 10.1623 11.6174i 0.706332 0.807467i
\(208\) −2.20316 + 2.91076i −0.152762 + 0.201825i
\(209\) 17.4746 1.20874
\(210\) 13.5897 9.92049i 0.937778 0.684579i
\(211\) 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
\(213\) −0.171062 1.03206i −0.0117209 0.0707155i
\(214\) −14.0703 14.9731i −0.961823 1.02354i
\(215\) 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
\(219\) −2.41933 0.908832i −0.163483 0.0614132i
\(220\) −7.57418 15.2321i −0.510651 1.02695i
\(221\) 2.18528 3.78502i 0.146998 0.254608i
\(222\) −2.74238 + 3.59086i −0.184057 + 0.241003i
\(223\) 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 0.875530 0.483164i \(-0.160513\pi\)
0.0193323 + 0.999813i \(0.493846\pi\)
\(228\) −16.8599 7.55943i −1.11657 0.500636i
\(229\) 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
\(231\) 9.05402 11.9759i 0.595711 0.787957i
\(232\) −2.96032 + 2.45408i −0.194354 + 0.161118i
\(233\) 6.60666 3.81435i 0.432816 0.249887i −0.267729 0.963494i \(-0.586273\pi\)
0.700546 + 0.713607i \(0.252940\pi\)
\(234\) −3.28213 + 2.05423i −0.214560 + 0.134289i
\(235\) 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 \(-0.858750\pi\)
0.903148 0.429329i \(-0.141250\pi\)
\(240\) 0.718408 + 17.9728i 0.0463730 + 1.16014i
\(241\) 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
\(243\) 10.6203 11.4110i 0.681290 0.732014i
\(244\) 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
\(248\) 26.3522 4.48479i 1.67337 0.284784i
\(249\) 0.0697941 + 0.421086i 0.00442302 + 0.0266852i
\(250\) −2.73688 11.6509i −0.173095 0.736870i
\(251\) 1.44903i 0.0914619i −0.998954 0.0457309i \(-0.985438\pi\)
0.998954 0.0457309i \(-0.0145617\pi\)
\(252\) −13.9163 + 7.63791i −0.876642 + 0.481143i
\(253\) 16.8558i 1.05972i
\(254\) −2.20272 + 0.517434i −0.138211 + 0.0324667i
\(255\) −3.52133 21.2451i −0.220514 1.33042i
\(256\) −4.34461 15.3988i −0.271538 0.962428i
\(257\) −6.03418 10.4515i −0.376402 0.651948i 0.614134 0.789202i \(-0.289506\pi\)
−0.990536 + 0.137254i \(0.956172\pi\)
\(258\) −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
\(261\) −3.86041 + 1.31586i −0.238953 + 0.0814496i
\(262\) 9.48070 8.90904i 0.585720 0.550402i
\(263\) −21.7325 12.5473i −1.34008 0.773697i −0.353264 0.935524i \(-0.614928\pi\)
−0.986819 + 0.161827i \(0.948261\pi\)
\(264\) 5.24373 + 15.1691i 0.322729 + 0.933592i
\(265\) 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 0.688003 0.725708i \(-0.258488\pi\)
−0.284480 + 0.958682i \(0.591821\pi\)
\(270\) −6.06853 + 18.0874i −0.369319 + 1.10076i
\(271\) −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
\(273\) 4.15024 + 0.516203i 0.251184 + 0.0312420i
\(274\) −3.81383 1.15005i −0.230402 0.0694769i
\(275\) 2.85088 + 4.93787i 0.171915 + 0.297765i
\(276\) 7.29175 16.2629i 0.438912 0.978910i
\(277\) 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 \(0.0405879\pi\)
−0.991882 + 0.127165i \(0.959412\pi\)
\(282\) −12.8188 9.78986i −0.763347 0.582978i
\(283\) 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
\(285\) 22.4533 + 8.43466i 1.33002 + 0.499626i
\(286\) 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
\(290\) 3.63754 3.41820i 0.213604 0.200724i
\(291\) −1.44534 8.72009i −0.0847272 0.511181i
\(292\) −2.97845 0.185355i −0.174301 0.0108471i
\(293\) 5.96057i 0.348220i −0.984726 0.174110i \(-0.944295\pi\)
0.984726 0.174110i \(-0.0557049\pi\)
\(294\) 16.8663 + 3.08689i 0.983661 + 0.180031i
\(295\) 4.50477 0.262278
\(296\) −1.81361 + 4.89191i −0.105414 + 0.284336i
\(297\) −0.524829 + 17.0153i −0.0304537 + 0.987330i
\(298\) 16.7933 + 17.8709i 0.972813 + 1.03523i
\(299\) −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
\(303\) 11.8535 + 4.45282i 0.680967 + 0.255808i
\(304\) −21.1708 2.64526i −1.21423 0.151716i
\(305\) −21.2405 12.2632i −1.21623 0.702189i
\(306\) 0.723852 + 20.3049i 0.0413798 + 1.16075i
\(307\) 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 \(0.409370\pi\)
−0.971604 + 0.236612i \(0.923963\pi\)
\(312\) −2.92913 + 3.37785i −0.165829 + 0.191233i
\(313\) 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
\(315\) 17.4142 11.0178i 0.981177 0.620780i
\(316\) −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 \(-0.355247\pi\)
\(318\) −0.528910 + 4.08947i −0.0296598 + 0.229326i
\(319\) 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
\(324\) 7.86714 16.1898i 0.437063 0.899431i
\(325\) −0.794166 + 1.37554i −0.0440524 + 0.0763010i
\(326\) −25.7508 + 24.1981i −1.42621 + 1.34021i
\(327\) −23.9676 9.00354i −1.32541 0.497897i
\(328\) −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 −0.446788 0.894640i \(-0.647432\pi\)
0.551387 + 0.834250i \(0.314099\pi\)
\(332\) 0.219444 + 0.441313i 0.0120435 + 0.0242202i
\(333\) −3.64341 + 4.16509i −0.199658 + 0.228246i
\(334\) −13.6199 + 3.19940i −0.745247 + 0.175063i
\(335\) −32.5669 −1.77932
\(336\) −12.7820 + 13.1385i −0.697316 + 0.716764i
\(337\) 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
\(339\) 4.60822 + 27.8026i 0.250284 + 1.51003i
\(340\) −11.0716 22.2656i −0.600443 1.20752i
\(341\) −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
\(345\) −8.13599 + 21.6582i −0.438027 + 1.16604i
\(346\) −15.9171 + 14.9574i −0.855710 + 0.804113i
\(347\) 6.43016 11.1374i 0.345189 0.597885i −0.640199 0.768209i \(-0.721148\pi\)
0.985388 + 0.170324i \(0.0544815\pi\)
\(348\) −3.81726 + 2.75817i −0.204627 + 0.147853i
\(349\) −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 \(-0.610446\pi\)
0.984443 0.175705i \(-0.0562206\pi\)
\(354\) −4.21506 0.545153i −0.224028 0.0289746i
\(355\) 0.784045 + 1.35801i 0.0416128 + 0.0720755i
\(356\) −6.02209 3.99517i −0.319170 0.211744i
\(357\) 13.2348 17.5059i 0.700459 0.926510i
\(358\) −4.96044 + 16.4500i −0.262168 + 0.869409i
\(359\) 3.16884 1.82953i 0.167245 0.0965590i −0.414041 0.910258i \(-0.635883\pi\)
0.581286 + 0.813699i \(0.302550\pi\)
\(360\) −0.584116 + 22.0219i −0.0307856 + 1.16066i
\(361\) −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
\(366\) 18.3904 + 14.0450i 0.961282 + 0.734143i
\(367\) −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
\(369\) −16.8055 + 5.72834i −0.874861 + 0.298205i
\(370\) 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 −0.581942 0.813230i \(-0.697707\pi\)
0.413307 + 0.910592i \(0.364374\pi\)
\(374\) −15.1943 16.1693i −0.785680 0.836094i
\(375\) −2.39681 14.4605i −0.123771 0.746739i
\(376\) −17.4633 6.47428i −0.900601 0.333886i
\(377\) 1.24073 0.0639008
\(378\) −17.6276 + 8.20178i −0.906664 + 0.421854i
\(379\) 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
\(381\) −2.73391 + 0.453140i −0.140062 + 0.0232151i
\(382\) −4.31281 + 4.05275i −0.220662 + 0.207357i
\(383\) −3.77515 6.53874i −0.192901 0.334114i 0.753309 0.657666i \(-0.228456\pi\)
−0.946210 + 0.323552i \(0.895123\pi\)
\(384\) −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
\(387\) −7.74439 22.7201i −0.393670 1.15493i
\(388\) −4.54437 9.13897i −0.230705 0.463961i
\(389\) 18.2949 31.6877i 0.927588 1.60663i 0.140244 0.990117i \(-0.455211\pi\)
0.787345 0.616513i \(-0.211455\pi\)
\(390\) 3.52265 4.61253i 0.178376 0.233565i
\(391\) 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
\(396\) 5.17409 + 18.9638i 0.260008 + 0.952966i
\(397\) 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
\(399\) 9.51522 + 22.5147i 0.476357 + 1.12714i
\(400\) −2.70642 6.41389i −0.135321 0.320695i
\(401\) 20.5062 11.8393i 1.02403 0.591224i 0.108761 0.994068i \(-0.465312\pi\)
0.915269 + 0.402844i \(0.131978\pi\)
\(402\) 30.4725 + 3.94115i 1.51983 + 0.196567i
\(403\) −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
\(408\) 7.66507 + 22.1735i 0.379477 + 1.09775i
\(409\) 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
\(411\) −4.56710 1.71565i −0.225278 0.0846267i
\(412\) 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
\(416\) −2.09182 + 4.71987i −0.102560 + 0.231411i
\(417\) 4.79309 0.794445i 0.234719 0.0389041i
\(418\) 24.0579 5.65136i 1.17671 0.276417i
\(419\) 35.4540i 1.73204i 0.500009 + 0.866020i \(0.333330\pi\)
−0.500009 + 0.866020i \(0.666670\pi\)
\(420\) 15.5011 18.0529i 0.756377 0.880891i
\(421\) 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
\(423\) −14.8687 13.0064i −0.722940 0.632392i
\(424\) 0.798847 + 4.69395i 0.0387954 + 0.227958i
\(425\) 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
\(429\) 1.82115 4.84795i 0.0879261 0.234061i
\(430\) 20.1176 + 21.4085i 0.970156 + 1.03241i
\(431\) 25.8583 + 14.9293i 1.24555 + 0.719118i 0.970219 0.242231i \(-0.0778793\pi\)
0.275331 + 0.961350i \(0.411213\pi\)
\(432\) 3.21158 20.5350i 0.154517 0.987990i
\(433\) 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
\(438\) −3.62471 0.468801i −0.173195 0.0224002i
\(439\) 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
\(441\) 20.3602 + 5.14433i 0.969531 + 0.244968i
\(442\) 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 \(0.943221\pi\)
\(444\) −2.61425 + 5.83058i −0.124067 + 0.276707i
\(445\) 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 \(-0.983618\pi\)
0.998676 0.0514426i \(-0.0163819\pi\)
\(450\) −0.263059 7.37912i −0.0124007 0.347855i
\(451\) 9.69470 16.7917i 0.456506 0.790691i
\(452\) 14.4890 + 29.1381i 0.681503 + 1.37054i
\(453\) −7.81529 + 20.8045i −0.367194 + 0.977480i
\(454\) 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 \(-0.437793\pi\)
\(458\) 3.45227 + 3.67379i 0.161314 + 0.171665i
\(459\) −0.767174 + 24.8723i −0.0358086 + 1.16094i
\(460\) −1.65933 + 26.6635i −0.0773665 + 1.24319i
\(461\) 13.9258i 0.648588i 0.945956 + 0.324294i \(0.105127\pi\)
−0.945956 + 0.324294i \(0.894873\pi\)
\(462\) 8.59195 19.4158i 0.399734 0.903306i
\(463\) 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
\(465\) −41.9266 + 6.94925i −1.94430 + 0.322264i
\(466\) 7.86206 7.38799i 0.364203 0.342242i
\(467\) 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
\(471\) 10.4198 27.7378i 0.480121 1.27809i
\(472\) −4.83810 + 0.823380i −0.222692 + 0.0378991i
\(473\) 22.7015 + 13.1067i 1.04381 + 0.602647i
\(474\) −0.243397 0.185886i −0.0111796 0.00853800i
\(475\) −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 −0.926750 0.375678i \(-0.877410\pi\)
0.788722 + 0.614750i \(0.210743\pi\)
\(480\) 6.80156 + 24.5115i 0.310447 + 1.11879i
\(481\) 1.45790 0.841716i 0.0664743 0.0383790i
\(482\) 15.5219 + 4.68058i 0.707003 + 0.213195i
\(483\) −21.7174 + 9.17829i −0.988178 + 0.417626i
\(484\) 0.444596 + 0.294954i 0.0202089 + 0.0134070i
\(485\) 6.62457 + 11.4741i 0.300806 + 0.521012i
\(486\) 10.9309 19.1446i 0.495838 0.868415i
\(487\) 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 \(-0.466614\pi\)
0.104692 + 0.994505i \(0.466614\pi\)
\(492\) −16.6177 + 12.0071i −0.749184 + 0.541324i
\(493\) 3.25530 5.63834i 0.146611 0.253938i
\(494\) 4.71427 + 5.01677i 0.212105 + 0.225715i
\(495\) −8.23260 24.1524i −0.370028 1.08557i
\(496\) 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 −0.0716782 0.997428i \(-0.522835\pi\)
0.827959 + 0.560789i \(0.189502\pi\)
\(500\) −7.53594 15.1552i −0.337017 0.677760i
\(501\) −16.9043 + 2.80185i −0.755229 + 0.125178i
\(502\) −0.468623 1.99493i −0.0209157 0.0890383i
\(503\) 33.9146 1.51218 0.756090 0.654468i \(-0.227107\pi\)
0.756090 + 0.654468i \(0.227107\pi\)
\(504\) −16.6889 + 15.0160i −0.743384 + 0.668865i
\(505\) −18.9799 −0.844594
\(506\) 5.45125 + 23.2060i 0.242338 + 1.03163i
\(507\) −20.7904 + 3.44596i −0.923333 + 0.153041i
\(508\) −2.86524 + 1.42474i −0.127124 + 0.0632128i
\(509\) 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
\(513\) −23.5637 14.5912i −1.04036 0.644216i
\(514\) −11.6876 12.4375i −0.515516 0.548595i
\(515\) −1.00513 + 1.74094i −0.0442914 + 0.0767150i
\(516\) −16.2330 22.4662i −0.714618 0.989020i
\(517\) 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 −0.923929 0.382564i \(-0.875041\pi\)
0.793274 + 0.608864i \(0.208375\pi\)
\(522\) −4.88922 + 3.06007i −0.213995 + 0.133936i
\(523\) −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
\(525\) −4.80973 + 6.36191i −0.209914 + 0.277656i
\(526\) −33.9778 10.2459i −1.48150 0.446743i
\(527\) −39.1961 + 22.6299i −1.70741 + 0.985774i
\(528\) 12.1250 + 19.1880i 0.527673 + 0.835051i
\(529\) 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
\(534\) −7.03425 5.37214i −0.304402 0.232475i
\(535\) 32.6663 + 18.8599i 1.41229 + 0.815383i
\(536\) 34.9768 5.95258i 1.51077 0.257112i
\(537\) −7.40002 + 19.6990i −0.319335 + 0.850076i
\(538\) 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 −0.0395397 0.999218i \(-0.512589\pi\)
0.845578 + 0.533851i \(0.179256\pi\)
\(542\) −11.0416 + 10.3758i −0.474278 + 0.445680i
\(543\) −2.42507 + 0.401950i −0.104070 + 0.0172493i
\(544\) 15.9606 + 21.8895i 0.684304 + 0.938505i
\(545\) 38.3770 1.64389
\(546\) 5.88074 0.631532i 0.251672 0.0270271i
\(547\) 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
\(549\) 21.3313 + 18.6596i 0.910398 + 0.796370i
\(550\) 5.52185 + 5.87617i 0.235453 + 0.250561i
\(551\) 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
\(555\) 2.91692 7.76491i 0.123816 0.329602i
\(556\) 5.02333 2.49786i 0.213037 0.105933i
\(557\) −20.3420 + 35.2334i −0.861919 + 1.49289i 0.00815471 + 0.999967i \(0.497404\pi\)
−0.870074 + 0.492921i \(0.835929\pi\)
\(558\) 40.0712 1.42850i 1.69635 0.0604733i
\(559\) 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 \(-0.938519\pi\)
−0.656936 0.753947i \(-0.728148\pi\)
\(564\) −20.8142 9.33242i −0.876436 0.392966i
\(565\) −21.1213 36.5832i −0.888581 1.53907i
\(566\) 9.24394 30.6550i 0.388552 1.28853i
\(567\) −22.2088 + 8.58895i −0.932681 + 0.360702i
\(568\) −1.09028 1.31519i −0.0457470 0.0551840i
\(569\) −12.8893 + 7.44164i −0.540347 + 0.311970i −0.745220 0.666819i \(-0.767655\pi\)
0.204872 + 0.978789i \(0.434322\pi\)
\(570\) 33.6401 + 4.35083i 1.40903 + 0.182236i
\(571\) −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
\(576\) −3.39783 23.7583i −0.141576 0.989927i
\(577\) 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
\(579\) −16.0686 + 42.7748i −0.667786 + 1.77766i
\(580\) 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
\(584\) −4.16049 + 0.708059i −0.172162 + 0.0292997i
\(585\) 4.68003 5.35014i 0.193496 0.221201i
\(586\) −1.92768 8.20615i −0.0796316 0.338993i
\(587\) 8.33175i 0.343888i 0.985107 + 0.171944i \(0.0550048\pi\)
−0.985107 + 0.171944i \(0.944995\pi\)
\(588\) 24.2188 1.20479i 0.998765 0.0496846i
\(589\) 50.4096i 2.07709i
\(590\) 6.20189 1.45686i 0.255328 0.0599781i
\(591\) 21.6853 3.59430i 0.892014 0.147850i
\(592\) −0.914797 + 7.32141i −0.0375979 + 0.300908i
\(593\) −19.8845 34.4410i −0.816560 1.41432i −0.908202 0.418531i \(-0.862545\pi\)
0.0916424 0.995792i \(-0.470788\pi\)
\(594\) 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
\(597\) 1.75915 + 0.660834i 0.0719974 + 0.0270461i
\(598\) −4.83912 + 4.54733i −0.197886 + 0.185954i
\(599\) −12.0202 6.93989i −0.491134 0.283556i 0.233911 0.972258i \(-0.424848\pi\)
−0.725045 + 0.688702i \(0.758181\pi\)
\(600\) −2.78560 8.05820i −0.113722 0.328975i
\(601\) 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
\(606\) 17.7593 + 2.29689i 0.721421 + 0.0933047i
\(607\) 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
\(609\) 6.18239 + 0.768959i 0.250523 + 0.0311598i
\(610\) −33.2086 10.0139i −1.34458 0.405453i
\(611\) 3.00479 + 5.20445i 0.121561 + 0.210549i
\(612\) 7.56326 + 27.7205i 0.305727 + 1.12053i
\(613\) 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 \(-0.895566\pi\)
0.946660 0.322236i \(-0.104434\pi\)
\(618\) 1.15117 1.50734i 0.0463070 0.0606341i
\(619\) −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
\(621\) 14.0745 22.7293i 0.564790 0.912096i
\(622\) −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
\(626\) 16.8259 15.8114i 0.672500 0.631950i
\(627\) 29.8595 4.94915i 1.19247 0.197650i
\(628\) 2.12511 34.1482i 0.0848013 1.36266i
\(629\) 8.83363i 0.352220i
\(630\) 20.4115 20.8004i 0.813215 0.828708i
\(631\) −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
\(633\) 2.23481 + 13.4832i 0.0888259 + 0.535909i
\(634\) −19.2563 20.4919i −0.764765 0.813837i
\(635\) 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
\(639\) −0.584599 1.71507i −0.0231264 0.0678471i
\(640\) 15.7978 + 24.7629i 0.624462 + 0.978838i
\(641\) 9.80778 + 5.66252i 0.387384 + 0.223656i 0.681026 0.732259i \(-0.261534\pi\)
−0.293642 + 0.955915i \(0.594867\pi\)
\(642\) −28.2831 21.6001i −1.11624 0.852489i
\(643\) −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 \(0.346509\pi\)
−0.999143 + 0.0413818i \(0.986824\pi\)
\(648\) 5.59514 24.8333i 0.219798 0.975545i
\(649\) 4.92296 2.84227i 0.193243 0.111569i
\(650\) −0.648504 + 2.15059i −0.0254364 + 0.0843531i
\(651\) −34.5474 26.1185i −1.35402 1.02366i
\(652\) −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 \(0.993033\pi\)
\(654\) −35.9089 4.64427i −1.40415 0.181605i
\(655\) −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 \(-0.576192\pi\)
−0.237086 + 0.971489i \(0.576192\pi\)
\(660\) −17.2563 23.8825i −0.671701 0.929624i
\(661\) −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
\(663\) 2.66208 7.08653i 0.103387 0.275218i
\(664\) 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
\(668\) −17.7163 + 8.80947i −0.685465 + 0.340849i
\(669\) −3.26812 19.7174i −0.126353 0.762319i
\(670\) −44.8362 + 10.5323i −1.73217 + 0.406899i
\(671\) −30.9497 −1.19480
\(672\) −13.3484 + 22.2220i −0.514927 + 0.857234i
\(673\) 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
\(675\) 0.278803 9.03898i 0.0107311 0.347910i
\(676\) −21.7891 + 10.8347i −0.838041 + 0.416717i
\(677\) 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
\(681\) 25.2426 + 9.48249i 0.967298 + 0.363370i
\(682\) −31.9097 + 29.9856i −1.22188 + 1.14821i
\(683\) 6.38047 11.0513i 0.244142 0.422866i −0.717748 0.696303i \(-0.754827\pi\)
0.961890 + 0.273437i \(0.0881604\pi\)
\(684\) −30.9501 8.14204i −1.18341 0.311319i
\(685\) 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
\(690\) −4.19677 + 32.4489i −0.159768 + 1.23531i
\(691\) 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
\(693\) 12.0791 23.0280i 0.458848 0.874761i
\(694\) 5.25077 17.4128i 0.199316 0.660980i
\(695\) −6.30686 + 3.64127i −0.239233 + 0.138121i
\(696\) −4.36337 + 5.03180i −0.165393 + 0.190730i
\(697\) 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 \(-0.412871\pi\)
0.270318 + 0.962771i \(0.412871\pi\)
\(702\) −5.02651 + 4.43970i −0.189713 + 0.167566i
\(703\) 8.52061 + 4.91938i 0.321361 + 0.185538i
\(704\) 19.8752 + 17.0852i 0.749074 + 0.643922i
\(705\) 27.7194 + 10.4129i 1.04397 + 0.392173i
\(706\) 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 −0.602846 0.797858i \(-0.705967\pi\)
0.389542 + 0.921009i \(0.372633\pi\)
\(710\) 1.51861 + 1.61605i 0.0569924 + 0.0606495i
\(711\) −0.282320 0.246959i −0.0105878 0.00926170i
\(712\) −9.58291 3.55273i −0.359135 0.133144i
\(713\) 48.6246 1.82100
\(714\) 12.5594 28.3812i 0.470022 1.06214i
\(715\) 7.76255i 0.290303i
\(716\) −1.50923 + 24.2516i −0.0564025 + 0.906324i
\(717\) −3.75961 22.6827i −0.140405 0.847100i
\(718\) 3.77099 3.54361i 0.140732 0.132246i
\(719\) 19.5665 + 33.8902i 0.729708 + 1.26389i 0.957007 + 0.290066i \(0.0936772\pi\)
−0.227299 + 0.973825i \(0.572990\pi\)
\(720\) 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
\(723\) 18.5876 + 6.98252i 0.691281 + 0.259683i
\(724\) −2.54156 + 1.26379i −0.0944563 + 0.0469686i
\(725\) −1.18303 + 2.04906i −0.0439365 + 0.0761002i
\(726\) 0.519321 + 0.396612i 0.0192738 + 0.0147196i
\(727\) 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
\(732\) 29.8610 + 13.3887i 1.10369 + 0.494862i
\(733\) 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
\(735\) −31.2808 + 3.51365i −1.15381 + 0.129603i
\(736\) −3.09143 28.9398i −0.113952 1.06673i
\(737\) −35.5902 + 20.5480i −1.31098 + 0.756896i
\(738\) −21.2842 + 13.3214i −0.783484 + 0.490368i
\(739\) −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 \(-0.686793\pi\)
0.553723 0.832701i \(-0.313207\pi\)
\(744\) 43.7588 15.1268i 1.60428 0.554575i
\(745\) −38.9883 22.5099i −1.42842 0.824700i
\(746\) −3.87575 + 3.64205i −0.141901 + 0.133345i
\(747\) 0.238520 + 0.699759i 0.00872698 + 0.0256028i
\(748\) −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 \(0.956822\pi\)
\(752\) −26.1362 3.26567i −0.953090 0.119087i
\(753\) −0.410394 2.47601i −0.0149556 0.0902309i
\(754\) 1.70816 0.401258i 0.0622075 0.0146130i
\(755\) 33.3122i 1.21236i
\(756\) −21.6160 + 16.9925i −0.786168 + 0.618013i
\(757\) 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
\(759\) 4.77390 + 28.8022i 0.173282 + 1.04545i
\(760\) 38.6126 6.57134i 1.40063 0.238367i
\(761\) −6.12394 10.6070i −0.221993 0.384503i 0.733420 0.679775i \(-0.237923\pi\)
−0.955413 + 0.295273i \(0.904589\pi\)
\(762\) −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
\(765\) −12.0341 35.3050i −0.435092 1.27645i
\(766\) −7.31205 7.78124i −0.264195 0.281148i
\(767\) 1.37138 + 0.791767i 0.0495177 + 0.0285890i
\(768\) −11.7851 25.0821i −0.425257 0.905073i
\(769\) 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